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Cheng J, Lin A, Cao J, Qiu J, Qi W. Protocol-based fault detection for discrete-time memristive neural networks with quantization effect. Inf Sci (N Y) 2022. [DOI: 10.1016/j.ins.2022.10.018] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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2
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Gunasekaran N, Thoiyab NM, Zhu Q, Cao J, Muruganantham P. New Global Asymptotic Robust Stability of Dynamical Delayed Neural Networks via Intervalized Interconnection Matrices. IEEE TRANSACTIONS ON CYBERNETICS 2022; 52:11794-11804. [PMID: 34097631 DOI: 10.1109/tcyb.2021.3079423] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
This article identifies a new upper bound norm for the intervalized interconnection matrices pertaining to delayed dynamical neural networks under the parameter uncertainties. By formulating the appropriate Lyapunov functional and slope-bounded activation functions, the derived new upper bound norms provide new sufficient conditions corresponding to the equilibrium point of the globally asymptotic robust stability with respect to the delayed neural networks. The new upper bound norm also yields the optimized minimum results as compared with some existing methods. Numerical examples are given to demonstrate the effectiveness of the proposed results obtained through the new upper bound norm method.
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3
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Manivannan R, Cao Y, Chong KT. Unified dissipativity state estimation for delayed generalized impulsive neural networks with leakage delay effects. Knowl Based Syst 2022. [DOI: 10.1016/j.knosys.2022.109630] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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4
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Extended analysis on the global Mittag-Leffler synchronization problem for fractional-order octonion-valued BAM neural networks. Neural Netw 2022; 154:491-507. [DOI: 10.1016/j.neunet.2022.07.031] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2022] [Revised: 06/16/2022] [Accepted: 07/26/2022] [Indexed: 11/22/2022]
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5
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Xiao J, Li Y, Wen S. Mittag-Leffler synchronization and stability analysis for neural networks in the fractional-order multi-dimension field. Knowl Based Syst 2021. [DOI: 10.1016/j.knosys.2021.107404] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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6
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Arslan E. Novel criteria for global robust stability of dynamical neural networks with multiple time delays. Neural Netw 2021; 142:119-127. [PMID: 33991778 DOI: 10.1016/j.neunet.2021.04.039] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2020] [Revised: 04/08/2021] [Accepted: 04/29/2021] [Indexed: 11/16/2022]
Abstract
This research article considers the problem regarding global robust asymptotic stability of the general type of dynamical neural networks involving multiple constant time delays. Some new sufficient criteria are proposed for the existence, uniqueness and global asymptotic stability of the equilibrium point of this neural network model whose network parameters possess uncertainties. This paper will first address the existence and uniqueness problem for equilibrium points by utilizing the Homomorphic transformation theory. Secondly, by exploiting a novel Lyapunov functional candidate, the sufficient conditions for asymptotic stability of equilibrium points of this class of delayed neural networks will be established. The derived robust stability conditions are expressed independently of the constant time delay parameters and define some novel relationships among network parameters of the considered neural network. Thus, the applicability and validity of the obtained robust stability conditions for delayed-type neural networks can be easily tested. The comprehensive comparisons among the results of the current article and some of previously derived corresponding results will also be made by giving an illustrative numerical example.
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Affiliation(s)
- Emel Arslan
- Department of Computer Engineering, Faculty of Engineering Istanbul University-Cerrahpasa, Avcılar, Istanbul, Turkey.
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7
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Multi-periodicity of switched neural networks with time delays and periodic external inputs under stochastic disturbances. Neural Netw 2021; 141:107-119. [PMID: 33887601 DOI: 10.1016/j.neunet.2021.03.039] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/28/2020] [Revised: 03/11/2021] [Accepted: 03/29/2021] [Indexed: 11/21/2022]
Abstract
This paper presents new theoretical results on the multi-periodicity of recurrent neural networks with time delays evoked by periodic inputs under stochastic disturbances and state-dependent switching. Based on the geometric properties of activation function and switching threshold, the neuronal state space is partitioned into 5n regions in which 3n ones are shown to be positively invariant with probability one. Furthermore, by using Itô's formula, Lyapunov functional method, and the contraction mapping theorem, two criteria are proposed to ascertain the existence and mean-square exponential stability of a periodic orbit in every positive invariant set. As a result, the number of mean-square exponentially stable periodic orbits increases to 3n from 2n in a neural network without switching. Two illustrative examples are elaborated to substantiate the efficacy and characteristics of the theoretical results.
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8
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Xiao J, Zhong S, Wen S. Improved approach to the problem of the global Mittag-Leffler synchronization for fractional-order multidimension-valued BAM neural networks based on new inequalities. Neural Netw 2020; 133:87-100. [PMID: 33152567 DOI: 10.1016/j.neunet.2020.10.008] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2020] [Revised: 09/13/2020] [Accepted: 10/15/2020] [Indexed: 11/17/2022]
Abstract
This paper studies the problem of the global Mittag-Leffler synchronization for fractional-order multidimension-valued BAM neural networks (FOMVBAMNNs) with general activation functions (AFs). First, the unified model is established for the researched systems of FOMVBAMNNs which can be turned into the corresponding multidimension-valued systems as long as the state variables, the connection weights and the AFs of the neural networks are valued to be real, complex, or quaternion. Then, without any decomposition, the criteria in unified form are derived by constructing the new Lyapunov-Krasovskii functionals (LKFs) in vector form, combining two new inequalities and considering the easy controllers. It is worth mentioning that the obtained criteria have many advantages in higher flexibility, more diversity, smaller computation, and lower conservatism. Finally, a simulation example is provided to illustrate the availability and improvements of the acquired results.
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Affiliation(s)
- Jianying Xiao
- School of Sciences, Southwest Petroleum University, Chengdu, 610050, PR China.
| | - Shouming Zhong
- School of Mathematical Sciences, University of Electronic Science and Technology, Chengdu, 611731, PR China.
| | - Shiping Wen
- Centre for Artificial Intelligence, Faculty of Engineering Information Technology, University of Technology Sydney, Ultimo, NSW, 2007, Australia.
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9
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Novel methods to finite-time Mittag-Leffler synchronization problem of fractional-order quaternion-valued neural networks. Inf Sci (N Y) 2020. [DOI: 10.1016/j.ins.2020.03.101] [Citation(s) in RCA: 54] [Impact Index Per Article: 13.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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10
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Xiao J, Wen S, Yang X, Zhong S. New approach to global Mittag-Leffler synchronization problem of fractional-order quaternion-valued BAM neural networks based on a new inequality. Neural Netw 2020; 122:320-337. [DOI: 10.1016/j.neunet.2019.10.017] [Citation(s) in RCA: 66] [Impact Index Per Article: 16.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/04/2019] [Revised: 09/10/2019] [Accepted: 10/28/2019] [Indexed: 11/16/2022]
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11
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Xiao J, Zhong S. Synchronization and stability of delayed fractional-order memristive quaternion-valued neural networks with parameter uncertainties. Neurocomputing 2019. [DOI: 10.1016/j.neucom.2019.06.044] [Citation(s) in RCA: 40] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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12
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Song Q, Yu Q, Zhao Z, Liu Y, Alsaadi FE. Boundedness and global robust stability analysis of delayed complex-valued neural networks with interval parameter uncertainties. Neural Netw 2018; 103:55-62. [DOI: 10.1016/j.neunet.2018.03.008] [Citation(s) in RCA: 73] [Impact Index Per Article: 12.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/26/2017] [Revised: 01/26/2018] [Accepted: 03/14/2018] [Indexed: 10/17/2022]
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13
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14
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Dong Y, Liang S, Guo L. Robustly Exponential Stability Analysis for Discrete-Time Stochastic Neural Networks with Interval Time-Varying Delays. Neural Process Lett 2016. [DOI: 10.1007/s11063-016-9575-1] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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15
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Shen W, Zeng Z, Wang L. Stability analysis for uncertain switched neural networks with time-varying delay. Neural Netw 2016; 83:32-41. [PMID: 27544331 DOI: 10.1016/j.neunet.2016.07.008] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/30/2015] [Revised: 07/18/2016] [Accepted: 07/18/2016] [Indexed: 10/21/2022]
Abstract
In this paper, stability for a class of uncertain switched neural networks with time-varying delay is investigated. By exploring the mode-dependent properties of each subsystem, all the subsystems are categorized into stable and unstable ones. Based on Lyapunov-like function method and average dwell time technique, some delay-dependent sufficient conditions are derived to guarantee the exponential stability of considered uncertain switched neural networks. Compared with general results, our proposed approach distinguishes the stable and unstable subsystems rather than viewing all subsystems as being stable, thus getting less conservative criteria. Finally, two numerical examples are provided to show the validity and the advantages of the obtained results.
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Affiliation(s)
- Wenwen Shen
- School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China.
| | - Zhigang Zeng
- School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China.
| | - Leimin Wang
- School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China
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16
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Qin S, Cheng Q, Chen G. Global exponential stability of uncertain neural networks with discontinuous Lurie-type activation and mixed delays. Neurocomputing 2016. [DOI: 10.1016/j.neucom.2015.07.147] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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17
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Noise further expresses exponential decay for globally exponentially stable time-varying delayed neural networks. Neural Netw 2016; 77:7-13. [DOI: 10.1016/j.neunet.2016.01.012] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2015] [Revised: 12/14/2015] [Accepted: 01/27/2016] [Indexed: 11/24/2022]
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18
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Finite-time robust stabilization of uncertain delayed neural networks with discontinuous activations via delayed feedback control. Neural Netw 2016; 76:46-54. [DOI: 10.1016/j.neunet.2016.01.005] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/09/2015] [Revised: 12/17/2015] [Accepted: 01/13/2016] [Indexed: 11/18/2022]
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19
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Improved passivity criteria for memristive neural networks with interval multiple time-varying delays. Neurocomputing 2016. [DOI: 10.1016/j.neucom.2015.07.075] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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20
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Wei PC, Wang JL, Huang YL, Xu BB, Ren SY. Passivity analysis of impulsive coupled reaction-diffusion neural networks with and without time-varying delay. Neurocomputing 2015. [DOI: 10.1016/j.neucom.2015.06.021] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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21
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Finite time stabilization of delayed neural networks. Neural Netw 2015; 70:74-80. [DOI: 10.1016/j.neunet.2015.07.008] [Citation(s) in RCA: 50] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/26/2014] [Revised: 05/08/2015] [Accepted: 07/16/2015] [Indexed: 11/21/2022]
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22
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23
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Shi K, Zhu H, Zhong S, Zeng Y, Zhang Y, Wang W. Stability analysis of neutral type neural networks with mixed time-varying delays using triple-integral and delay-partitioning methods. ISA TRANSACTIONS 2015; 58:85-95. [PMID: 25835437 DOI: 10.1016/j.isatra.2015.03.006] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/07/2013] [Revised: 02/18/2014] [Accepted: 03/14/2015] [Indexed: 06/04/2023]
Abstract
This paper investigates the asymptotical stability problem for a class of neutral type neural networks with mixed time-varying delays. The system not only has time-varying discrete delay, but also distributed delay, which has never been discussed in the previous literature. Firstly, improved stability criteria are derived by employing the more general delay partitioning approach and generalizing the famous Jensen inequality. Secondly, by constructing a newly augmented Lyapunov-Krasovskii functionals, some less conservative stability criteria are established in terms of linear matrix inequalities (LMIs). Finally, four numerical examples are given to illustrate the effectiveness and the advantage of the proposed main results.
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Affiliation(s)
- Kaibo Shi
- School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
| | - Hong Zhu
- School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China
| | - Shouming Zhong
- School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China; Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China
| | - Yong Zeng
- School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China
| | - Yuping Zhang
- School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China
| | - Wenqin Wang
- School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China
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24
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Wang JL, Wu HN, Huang T, Ren SY. Passivity and Synchronization of Linearly Coupled Reaction-Diffusion Neural Networks With Adaptive Coupling. IEEE TRANSACTIONS ON CYBERNETICS 2015; 45:1942-1952. [PMID: 26284596 DOI: 10.1109/tcyb.2014.2362655] [Citation(s) in RCA: 62] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
In this paper, we study a general array model of coupled reaction-diffusion neural networks (NNs) with adaptive coupling. In order to ensure the passivity of the coupled reaction-diffusion neural networks, some adaptive strategies to tune the coupling strengths among network nodes are designed. By utilizing some inequality techniques and the designed adaptive laws, several sufficient conditions ensuring passivity are obtained. In addition, we reveal the relationship between passivity and synchronization of the coupled reaction-diffusion NNs. Based on the obtained passivity results and the relationship between passivity and synchronization, a global synchronization criterion is established. Finally, numerical simulations are presented to illustrate the correctness and effectiveness of the proposed results.
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25
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Ma Y, Zheng Y. Stochastic stability analysis for neural networks with mixed time-varying delays. Neural Comput Appl 2014. [DOI: 10.1007/s00521-014-1735-5] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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26
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Ozcan N, Arik S. New global robust stability condition for uncertain neural networks with time delays. Neurocomputing 2014. [DOI: 10.1016/j.neucom.2014.04.040] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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27
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Wang J, Jiang H, Hu C. Existence and stability of periodic solutions of discrete-time Cohen–Grossberg neural networks with delays and impulses. Neurocomputing 2014. [DOI: 10.1016/j.neucom.2014.02.056] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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28
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A systematic method for analyzing robust stability of interval neural networks with time-delays based on stability criteria. Neural Netw 2014; 54:112-22. [DOI: 10.1016/j.neunet.2014.03.002] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/11/2014] [Revised: 02/28/2014] [Accepted: 03/06/2014] [Indexed: 11/21/2022]
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29
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Global asymptotic stability analysis for delayed neural networks using a matrix-based quadratic convex approach. Neural Netw 2014; 54:57-69. [DOI: 10.1016/j.neunet.2014.02.012] [Citation(s) in RCA: 191] [Impact Index Per Article: 19.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/30/2013] [Revised: 01/08/2014] [Accepted: 02/21/2014] [Indexed: 11/19/2022]
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30
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Xiao J, Zeng Z, Wu A. New criteria for exponential stability of delayed recurrent neural networks. Neurocomputing 2014. [DOI: 10.1016/j.neucom.2013.07.053] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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31
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Zhu S, Luo W, Li J, Shen Y. Robustness of globally exponential stability of delayed neural networks in the presence of random disturbances. Neural Comput Appl 2014. [DOI: 10.1007/s00521-014-1547-7] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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32
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Li D, Zhu Q. Comparison principle and stability of stochastic delayed neural networks with Markovian switching. Neurocomputing 2014. [DOI: 10.1016/j.neucom.2013.07.039] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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33
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Triple Lyapunov functional technique on delay-dependent stability for discrete-time dynamical networks. Neurocomputing 2013. [DOI: 10.1016/j.neucom.2013.05.039] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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34
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Chen X, Song Q. Global stability of complex-valued neural networks with both leakage time delay and discrete time delay on time scales. Neurocomputing 2013. [DOI: 10.1016/j.neucom.2013.04.040] [Citation(s) in RCA: 134] [Impact Index Per Article: 12.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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35
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Robust Stability of Markovian Jump Stochastic Neural Networks with Time Delays in the Leakage Terms. Neural Process Lett 2013. [DOI: 10.1007/s11063-013-9331-8] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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36
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A mode-dependent approach to state estimation of recurrent neural networks with Markovian jumping parameters and mixed delays. Neural Netw 2013; 46:50-61. [DOI: 10.1016/j.neunet.2013.04.014] [Citation(s) in RCA: 68] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2013] [Revised: 04/25/2013] [Accepted: 04/28/2013] [Indexed: 11/23/2022]
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37
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Robust exponential stability analysis for interval Cohen–Grossberg type BAM neural networks with mixed time delays. INT J MACH LEARN CYB 2013. [DOI: 10.1007/s13042-013-0186-0] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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38
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Faydasicok O, Arik S. A new upper bound for the norm of interval matrices with application to robust stability analysis of delayed neural networks. Neural Netw 2013; 44:64-71. [DOI: 10.1016/j.neunet.2013.03.014] [Citation(s) in RCA: 59] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2012] [Revised: 03/21/2013] [Accepted: 03/21/2013] [Indexed: 11/30/2022]
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39
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New results on stability for a class of neural networks with distributed delays and impulses. Neurocomputing 2013. [DOI: 10.1016/j.neucom.2012.12.018] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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40
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Wang T, Zhang C, Fei S, Li T. Further stability criteria on discrete-time delayed neural networks with distributeddelay. Neurocomputing 2013. [DOI: 10.1016/j.neucom.2012.12.017] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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41
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Qin S, Fan D, Yan M, Liu Q. Global Robust Exponential Stability for Interval Delayed Neural Networks with Possibly Unbounded Activation Functions. Neural Process Lett 2013. [DOI: 10.1007/s11063-013-9309-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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42
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Kwon O, Park JH, Lee S, Cha E. Analysis on delay-dependent stability for neural networks with time-varying delays. Neurocomputing 2013. [DOI: 10.1016/j.neucom.2012.09.012] [Citation(s) in RCA: 68] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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43
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Kwon OM, Park MJ, Lee SM, Park JH, Cha EJ. Stability for neural networks with time-varying delays via some new approaches. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 2013; 24:181-193. [PMID: 24808274 DOI: 10.1109/tnnls.2012.2224883] [Citation(s) in RCA: 94] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
This paper considers the problem of delay-dependent stability criteria for neural networks with time-varying delays. First, by constructing a newly augmented Lyapunov-Krasovskii functional, a less conservative stability criterion is established in terms of linear matrix inequalities. Second, by proposing novel activation function conditions which have not been proposed so far, further improved stability criteria are proposed. Finally, three numerical examples used in the literature are given to show the improvements over the existing criteria and the effectiveness of the proposed idea.
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44
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Xiao J, Zeng Z. Global robust stability of uncertain delayed neural networks with discontinuous neuron activation. Neural Comput Appl 2013. [DOI: 10.1007/s00521-013-1337-7] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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45
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Global exponential estimates of delayed stochastic neural networks with Markovian switching. Neural Netw 2012; 36:136-45. [DOI: 10.1016/j.neunet.2012.10.002] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/18/2012] [Revised: 08/30/2012] [Accepted: 10/07/2012] [Indexed: 11/30/2022]
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