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Qin X, Jiang H, Qiu J, Hu C, Ren Y. Strictly intermittent quantized control for fixed/predefined-time cluster lag synchronization of stochastic multi-weighted complex networks. Neural Netw 2023; 158:258-271. [PMID: 36481458 DOI: 10.1016/j.neunet.2022.10.033] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/12/2022] [Revised: 08/27/2022] [Accepted: 10/31/2022] [Indexed: 11/21/2022]
Abstract
This article addresses the fixed-time (F-T) and predefined-time (P-T) cluster lag synchronization of stochastic multi-weighted complex networks (SMWCNs) via strictly intermittent quantized control (SIQC). Firstly, by exploiting mathematical induction and reduction to absurdity, a novel F-T stability lemma is proved and an accurate estimation of settling time (ST) is obtained. Subsequently, by virtue of the proposed F-T stability, some simple conditions that ensure the F-T cluster lag synchronization of SMWCNs are derived by developing a SIQC strategy. Furthermore, the P-T cluster lag synchronization is also explored based on a SIQC design, where the ST can be predefined by an adjustable constant of the controller. Note that the designed controllers here are simpler and more economical than the traditional design whose the linear part is still activated during the rest interval. Finally, two numerical examples are provided to verify the effectiveness of the theoretical results.
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Affiliation(s)
- Xuejiao Qin
- College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, PR China
| | - Haijun Jiang
- College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, PR China.
| | - Jianlong Qiu
- School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China
| | - Cheng Hu
- College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, PR China
| | - Yue Ren
- College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, PR China
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2
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Pan L, Song Q, Cao J, Ragulskis M. Pinning Impulsive Synchronization of Stochastic Delayed Neural Networks via Uniformly Stable Function. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 2022; 33:4491-4501. [PMID: 33625990 DOI: 10.1109/tnnls.2021.3057490] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
This article investigates the synchronization of stochastic delayed neural networks under pinning impulsive control, where a small fraction of nodes are selected as the pinned nodes at each impulsive moment. By proposing a uniformly stable function as a new tool, some novel mean square decay results are presented to analyze the error system obtained from the leader and the considered neural networks. For the divergent error system without impulsive effects, the impulsive gains of pinning impulsive controller can admit destabilizing impulse and the number of destabilizing impulse may be infinite. However, if the error system without impulsive effects is convergent, to achieve the synchronization of the stochastic neural networks, the growth exponent of the product of impulsive gains can not exceed some positive constant. It is shown that the obtained results increase the flexibility of the impulsive gains compared with the existing results. Finally, a numerical example is given to illustrate the practicality of synchronization criteria.
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Integral Sliding Mode Exponential Synchronization of Inertial Memristive Neural Networks with Time Varying Delays. Neural Process Lett 2022. [DOI: 10.1007/s11063-022-10981-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Wang X, Park JH, Yang H, Zhong S. Delay-Dependent Stability Analysis for Switched Stochastic Networks With Proportional Delay. IEEE TRANSACTIONS ON CYBERNETICS 2022; 52:6369-6378. [PMID: 33259317 DOI: 10.1109/tcyb.2020.3034203] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
In this article, the issue of exponential stability (ES) is investigated for a class of switched stochastic neural networks (SSNNs) with proportional delay (PD). The key feature of PD is an unbounded time-varying delay. By considering the comparison principle and combining the extended formula for the variation of parameters, we conquer the difficulty in consideration of PD effects for such networks for the first time, where the subsystems addressed may be stable or unstable. New delay-dependent conditions with respect to the mean-square ES of systems are established by employing the average dwell-time (ADT) technique, stochastic analysis theory, and Lyapunov approach. It is shown that the acquired minimum average dwell time (MADT) is not only relevant to the stable subsystems (SSs) and unstable subsystems (USs) but also dependent on the decay ratio (DR), increasing ratio (IR), as well as PD. Finally, the availability of the derived results under an average dwell-time-switched regulation (ADTSR) is illustrated through two numerical simulation examples.
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Wang Y, Zhou Y, Zhou J, Xia J, Wang Z. Quantized control for extended dissipative synchronization of chaotic neural networks: A discretized LKF method. ISA TRANSACTIONS 2022; 125:1-9. [PMID: 34148650 DOI: 10.1016/j.isatra.2021.06.013] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/28/2019] [Revised: 06/11/2021] [Accepted: 06/11/2021] [Indexed: 06/12/2023]
Abstract
This work focuses on the extended dissipative synchronization problem for chaotic neural networks with time delay under quantized control. The discretized Lyapunov-Krasovskii functional method, in combination with the free-weighting matrix approach, is employed to obtain an analysis result of the extended dissipativity with low conservatism. Then, with the help of several decoupling methods, a computationally tractable design approach is proposed for the needed quantized controller. Finally, two examples are provided to illustrate the usefulness of the present analysis and design methods, respectively.
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Affiliation(s)
- Yuan Wang
- School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243002, China
| | - Youmei Zhou
- School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243002, China
| | - Jianping Zhou
- School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243002, China; Research Institute of Information Technology, Anhui University of Technology, Ma'anshan, 243000, China.
| | - Jianwei Xia
- School of Mathematics Science, Liaocheng University, Liaocheng, 252000, China
| | - Zhen Wang
- College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China
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Li L, Chen W, Wu X. Global Exponential Stability and Synchronization for Novel Complex-Valued Neural Networks With Proportional Delays and Inhibitory Factors. IEEE TRANSACTIONS ON CYBERNETICS 2021; 51:2142-2152. [PMID: 31647457 DOI: 10.1109/tcyb.2019.2946076] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
In this article, complex-valued neural networks (CVNNs) with proportional delays and inhibitory factors are proposed. First, the global exponential stability of the model addressed is investigated by employing the Halanay inequality technique and the matrix measure method. Some criteria are derived to guarantee the global exponential stability of CVNNs with proportional delays and inhibitory factors. The obtained criteria are applicable not only to systems with proportional delays but also to systems with arbitrary delays. Here, the Lyapunov functions are not constructed. Compared with the Lyapunov method, the matrix measure method makes the obtained criteria more concise, and the Halanay inequality makes the analytical procedure more compact. Furthermore, the global exponential synchronization of two neural-network models with proportional delays and inhibitory factors is also studied. By designing a feedback controller and giving some limitation conditions, the drive system and the response system realize global exponential synchronization. Finally, numerical simulation examples are provided to validate the effectiveness of the theoretical results obtained.
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Wu Y, Zhu J, Li W. Intermittent Discrete Observation Control for Synchronization of Stochastic Neural Networks. IEEE TRANSACTIONS ON CYBERNETICS 2020; 50:2414-2424. [PMID: 31398140 DOI: 10.1109/tcyb.2019.2930579] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
In this paper, to investigate the exponential synchronization of stochastic neural networks, a new periodically intermittent discrete observation control (PIDOC) is first proposed. Different from the existing periodically intermittent control, our control in control time is feedback control based on discrete-time state observations (FCDSOs) instead of a continuous-time one. By employing the Lyapunov method, graph theory, and theory of differential inclusions, the exponential synchronization of stochastic neural networks with a discontinuous right-hand side is realized by PIDOC and some sufficient conditions are presented. Especially, when control width tends to control period, PIDOC will be reduced to a general FCDSO and we give some detailed discussions. Then, we provide some corollaries about synchronization in mean square, asymptotical synchronization in mean square, and exponential synchronization of stochastic neural networks under FCDSO. Finally, some numerical simulations are provided to demonstrate our analytical results.
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Yang D, Li X, Song S. Design of State-Dependent Switching Laws for Stability of Switched Stochastic Neural Networks With Time-Delays. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 2020; 31:1808-1819. [PMID: 31380768 DOI: 10.1109/tnnls.2019.2927161] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
We study the stability properties of switched stochastic neural networks (SSNNs) with time-varying delays whose subsystem is not necessarily stable. We introduce state-dependent switching (SDS) as a tool for stability analysis. Some SDS laws for asymptotic stability and p th moment exponentially stable are designed by employing Lyapunov-Krasovskii (L-K) functional and Lyapunov-Razumikhin (L-R) method, respectively. It is shown that the stability of SSNNs with time-varying delays composed of unstable subsystems can be achieved by using SDS law. The control gains in the designed SDS laws can be derived by solving the LMIs in derived stability criteria. Two numerical examples are provided to demonstrate the effectiveness of the proposed SDS laws.
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Finite-Time Synchronization of Hybrid-Coupled Delayed Dynamic Networks via Aperiodically Intermittent Control. Neural Process Lett 2020. [DOI: 10.1007/s11063-020-10245-4] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Wu Y, Gao Y, Li W. Finite-time synchronization of switched neural networks with state-dependent switching via intermittent control. Neurocomputing 2020. [DOI: 10.1016/j.neucom.2019.12.031] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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11
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Cluster stochastic synchronization of complex dynamical networks via fixed-time control scheme. Neural Netw 2020; 124:12-19. [DOI: 10.1016/j.neunet.2019.12.019] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2019] [Revised: 11/11/2019] [Accepted: 12/20/2019] [Indexed: 10/25/2022]
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Song X, Man J, Song S, Lu J. Integral sliding mode synchronization control for Markovian jump inertial memristive neural networks with reaction–diffusion terms. Neurocomputing 2020. [DOI: 10.1016/j.neucom.2019.10.047] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Finite-time nonfragile time-varying proportional retarded synchronization for Markovian Inertial Memristive NNs with reaction-diffusion items. Neural Netw 2019; 123:317-330. [PMID: 31896463 DOI: 10.1016/j.neunet.2019.12.011] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/16/2019] [Revised: 10/23/2019] [Accepted: 12/10/2019] [Indexed: 11/22/2022]
Abstract
The issue of synchronization for a class of inertial memristive neural networks over a finite-time interval is investigated in this paper. Specifically, reaction-diffusion items and Markovian jump parameters are both considered in the system model, meanwhile, a novel nonfragile time-varying proportional retarded control strategy is proposed. First, a befitting variable substitution is invoked to transform the original second-order differential system into a first-order one so that the corresponding synchronization error system that is represented by a first-order differential form is established. Second, by utilizing the integral inequality technique, reciprocally convex combination approach and free-weighting matrix method, a less conservative synchronization criterion in terms of linear matrix inequalities is obtained. Finally, three simulations are exploited to illustrate the feasibility, practicability and superiority of the designed controller so that the acquired theoretical results are supported.
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Zheng CD, Xie F. Synchronization of delayed memristive neural networks by establishing novel Lyapunov functional. Neurocomputing 2019. [DOI: 10.1016/j.neucom.2019.08.060] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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15
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Exponential Stability and Sampled-Data Synchronization of Delayed Complex-Valued Memristive Neural Networks. Neural Process Lett 2019. [DOI: 10.1007/s11063-019-10082-0] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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16
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Extended $$H_{\infty }$$ Synchronization Control for Switched Neural Networks with Multi Quantization Densities Based on a Persistent Dwell-Time Approach. Neural Process Lett 2019. [DOI: 10.1007/s11063-019-10064-2] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Fan Y, Huang X, Shen H, Cao J. Switching event-triggered control for global stabilization of delayed memristive neural networks: An exponential attenuation scheme. Neural Netw 2019; 117:216-224. [PMID: 31174049 DOI: 10.1016/j.neunet.2019.05.014] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/03/2019] [Revised: 04/15/2019] [Accepted: 05/19/2019] [Indexed: 10/26/2022]
Abstract
In this paper, an exponential-attenuation-based switching event-trigger (EABSET) scheme is designed to achieve the global stabilization of delayed memristive neural networks (MNNs). The issue is proposed for two reasons: (1) the available methods may be complicated in dealing with the state-dependent memristive connection weights; (2) the existing event-trigger mechanisms may be conservative in decreasing the amount of triggering times. To overcome these difficulties, the stabilization problem is formulated within a framework of networked control first. Then, an exponential attenuation term is introduced into the prescribed threshold function. It can enlarge the time span between two neighboring triggered events and further reduce the frequency of data packets sending out. By utilizing the input delay approach, time-dependent and piecewise Lyapunov functionals, and matrix norm inequalities, some sufficient criteria are obtained to guarantee the global stabilization of delayed MNNs and to design both the controller and the trigger parameters. Finally, some comparison simulation results demonstrate that the novel event-trigger scheme has some advantages over some existing ones.
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Affiliation(s)
- Yingjie Fan
- College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China
| | - Xia Huang
- College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China.
| | - Hao Shen
- College of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243032, China
| | - Jinde Cao
- School of Mathematics, Southeast University, Nanjing 210096, China
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18
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Exponential synchronization of delayed memristor-based neural networks with stochastic perturbation via nonlinear control. Neurocomputing 2019. [DOI: 10.1016/j.neucom.2019.02.032] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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19
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Tang R, Yang X, Wan X. Finite-time cluster synchronization for a class of fuzzy cellular neural networks via non-chattering quantized controllers. Neural Netw 2019; 113:79-90. [DOI: 10.1016/j.neunet.2018.11.010] [Citation(s) in RCA: 44] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2018] [Revised: 10/24/2018] [Accepted: 11/14/2018] [Indexed: 10/27/2022]
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20
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Zhang W, Yang S, Li C, Li H. Finite-time synchronization of delayed memristive neural networks via 1-norm-based analytical approach. Neural Comput Appl 2018. [DOI: 10.1007/s00521-018-3906-2] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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