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Pseudo Almost Periodic Solutions for MAMs with an Oscillating Coefficient and Distributed Delays. Neural Process Lett 2018. [DOI: 10.1007/s11063-018-9824-6] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Duan L, Fang X, Fu Y. Global exponential synchronization of delayed fuzzy cellular neural networks with discontinuous activations. INT J MACH LEARN CYB 2017. [DOI: 10.1007/s13042-017-0740-2] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Xu C, Li P. Global exponential stability of periodic solution for fuzzy cellular neural networks with distributed delays and variable coefficients. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2017. [DOI: 10.3233/jifs-16939] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Changjin Xu
- Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics Guiyang, P.R. China
| | - Peiluan Li
- School of Mathematics and Statistics, Henan University of Science and Technology Luoyang, P.R. China
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Xu C, Li P, Pang Y. Exponential Stability of Almost Periodic Solutions for Memristor-Based Neural Networks with Distributed Leakage Delays. Neural Comput 2016; 28:2726-2756. [DOI: 10.1162/neco_a_00895] [Citation(s) in RCA: 60] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/04/2022]
Abstract
In this letter, we deal with a class of memristor-based neural networks with distributed leakage delays. By applying a new Lyapunov function method, we obtain some sufficient conditions that ensure the existence, uniqueness, and global exponential stability of almost periodic solutions of neural networks. We apply the results of this solution to prove the existence and stability of periodic solutions for this delayed neural network with periodic coefficients. We then provide an example to illustrate the effectiveness of the theoretical results. Our results are completely new and complement the previous studies Chen, Zeng, and Jiang ( 2014 ) and Jiang, Zeng, and Chen ( 2015 ).
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Affiliation(s)
- Changjin Xu
- Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, P.R. China
| | - Peiluan Li
- School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, P.R. China
| | - Yicheng Pang
- School of Mathematics and Statistics, Guizhou University of Finance and Economics Guiyang 550004, P.R. China
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Balasundaram K, Raja R, Zhu Q, Chandrasekaran S, Zhou H. New global asymptotic stability of discrete-time recurrent neural networks with multiple time-varying delays in the leakage term and impulsive effects. Neurocomputing 2016. [DOI: 10.1016/j.neucom.2016.06.040] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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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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7
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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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Li Y, Yang L, Li B. Existence and Stability of Pseudo Almost Periodic Solution for Neutral Type High-Order Hopfield Neural Networks with Delays in Leakage Terms on Time Scales. Neural Process Lett 2015. [DOI: 10.1007/s11063-015-9483-9] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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9
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Jing K. Exponential stability of FCNNs with time-varying leakage delays and reaction–diffusion terms. Neurocomputing 2014. [DOI: 10.1016/j.neucom.2014.05.023] [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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Li J, Hu M, Guo L, Yang Y, Jin Y. Stability of uncertain impulsive stochastic fuzzy neural networks with two additive time delays in the leakage term. Neural Comput Appl 2014. [DOI: 10.1007/s00521-014-1737-3] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Yang G. New results on the stability of fuzzy cellular neural networks with time-varying leakage delays. Neural Comput Appl 2014. [DOI: 10.1007/s00521-014-1662-5] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Improved robust stability criteria for bidirectional associative memory neural networks under parameter uncertainties. Neural Comput Appl 2014. [DOI: 10.1007/s00521-014-1600-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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