Mittag-Leffler stability analysis of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument

被引：0
作者：
Liguang Wan
Ailong Wu
机构：
[1] Hubei Normal University,College of Mechatronics and Control Engineering
[2] Hubei Normal University,College of Mathematics and Statistics
[3] Xi’an Jiaotong University,Institute for Information and System Science
来源：
Advances in Difference Equations | / 2017卷
关键词：
Cohen-Grossberg neural networks; fractional-order systems; Mittag-Leffler stability; deviating argument;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the Mittag-Leffler stability of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument. Applying the Lyapunov method, the generalized Gronwall-Bellman inequality, and the theory of fractional-order differential equations, sufficient conditions are presented to guarantee the existence and uniqueness of solution. Besides, the global Mittag-Leffler stability is investigated. The obtained criteria are useful in the analysis and design of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument. A numerical example is given to substantiate the validity of the theoretical results.
引用
收藏
相关论文
共 148 条
[1]  
Bao H(2015)Projective synchronization of fractional-order memristor-based neural networks Neural Netw. 63 1-9
[2]  
Cao J(2013)Dynamic analysis of a class of fractional-order neural works with delay Neurocomputing 111 190-194
[3]  
Chen L(2013)Synchronization of a class of fractional-order chaotic neural networks Entropy 15 3265-3276
[4]  
Chai Y(2012)An improved stabilization method for sampled-data control systems with control packet loss IEEE Trans. Autom. Control 57 2378-2384
[5]  
Wu R(2010)Robust stability analysis for stochastic neural networks with time-varying delay IEEE Trans. Neural Netw. 21 508-514
[6]  
Ma T(2012)Convergence of a class of cooperative standard cellular neural network arrays IEEE Trans. Circuits Syst. I, Regul. Pap. 59 772-783
[7]  
Zhai H(2012)Limit set dichotomy and multistability for a class of cooperative neural networks with delays IEEE Trans. Neural Netw. Learn. Syst. 23 1473-1485
[8]  
Chen L(2009)A discrete delay decomposition approach to stability of linear retarded and neutral systems Automatica 45 517-524
[9]  
Qu J(2009)Improved stability criteria and controller design for linear neutral systems Automatica 45 1948-1952
[10]  
Chai Y(2012)Global exponential estimates of delayed stochastic neural networks with Markovian switching Neural Netw. 36 136-145
12345678910