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Parameter Control of Stochastic Neural Network System with Markov Switching
Wireless Communications and Mobile Computing, Volume 2022, Issue 1, 2022., 2022 The stochastic control of Markov switching systems with time‐delay feedback neural networks under the interference of external environment is studied in this paper. By designing a memoryless state feedback controller, a set of sufficient conditions for the stochastic stability of the switching system and the disturbance attenuation are obtained by ...
Bo Hong +2 more
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Journal of Inequalities and Applications, 2009 Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium ...
Yongkun Li, Yuchun Hua, Yu Fei
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Discrete Dynamics in Nature and Society, Volume 2022, Issue 1, 2022., 2022 In this article, a controller with delay impulse is applied to a neural network (NN) with time‐varying delays. Firstly, the lag synchronization of the system is discussed. In addition, a sufficient condition for guaranteed lag synchronization requiring all state information is derived by using linear matrix inequality (LMI).
Jiarui Ye, Jin-E Zhang, Guoguang Wen
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Nonlinear Analysis, 2017 In this paper, stochastic fuzzy Cohen–Grossberg neural networks with discrete and distributed delays are investigated. By using Lyapunov function and the Ito differential formula, some sufficient conditions for the pth moment exponential stability of ...
Changjin Xu, Peiluan Li
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Bifurcation of a Cohen‐Grossberg Neural Network with Discrete Delays [PDF]
Abstract and Applied Analysis, 2012 A simple Cohen‐Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine the direction of Hopf bifurcation and stability of the periodic solutions.
Liu, Qiming, Zheng, Wang
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Delay-Dependent Dynamics of Switched Cohen-Grossberg Neural Networks with Mixed Delays
Abstract and Applied Analysis, 2013 This paper aims at studying the problem of the dynamics of switched Cohen-Grossberg neural networks with mixed delays by using Lyapunov functional method, average dwell time (ADT) method, and linear matrix inequalities (LMIs) technique.
Peng Wang +4 more
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IEEE Access, 2020 Cohen-Grossberg neural networks with delays provide a very powerful tool in the study of information processing, parallel computation, pattern recognition and solving of optimization problems.
Jinde Cao +4 more
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Dynamics of Delayed Cohen-Grossberg Neural Networks
AASRI Procedia, 2012 Abstract This paper studies the boundedness of Cohen-Grossberg neural networks with discrete delays and distributed delays (CGNN). Applying Lyapunov function and linear matrix inequalities technique (LMI), some novel sufficient conditions on the issue of the uniformly ultimate boundness, the existence of an attractor and the globally exponential ...
Chang, Ancheng +2 more
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General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays [PDF]
, 2011 For a family of differential equations with infinite delay, we give sufficient conditions for the global asymptotic, and global exponential stability of an equilibrium point.
Faria, Teresa, Oliveira, José J.
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Discrete Dynamics in Nature and Society, 2010 This paper addresses the issue of mean square exponential stability of stochastic Cohen-Grossberg neural networks (SCGNN), whose state variables are described by stochastic nonlinear integrodifferential equations.
Chuangxia Huang, Lehua Huang, Yigang He
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