Stability of switched neural networks with time delay

In this paper, we consider the stability of switched neural networks with time delay. Some exponentially stable criteria are given by introducing multiple Lyapunov functions. Compared with the previous results, the proposed criteria are convenient and can reflect the impact of dwell time and time delay on the stability of switched neural networks. Finally, two examples are given to illustrate the effectiveness of the proposed results.

[1]  E. Adams,et al.  On contracting interval iteration for nonlinear problems in Rn: part II—applications , 1981 .

[2]  Xiaofeng Liao,et al.  Stability switches and bifurcation analysis of a neural network with continuously delay , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[3]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[4]  Jinde Cao,et al.  Exponential stability of BAM neural networks with transmission delays , 2004, Neurocomputing.

[5]  H. B. Huang,et al.  Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty , 2005 .

[6]  Shuzhi Sam Ge,et al.  Switched Linear Systems , 2005 .

[7]  Jinde Cao,et al.  Robust Stability of Switched Cohen–Grossberg Neural Networks With Mixed Time-Varying Delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[8]  Jinde Cao,et al.  Global stability in switched recurrent neural networks with time-varying delay via nonlinear measure , 2007 .

[9]  Jinde Cao,et al.  LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay , 2007 .

[10]  Chuandong Li,et al.  Stabilizing Effects of Impulses in Delayed BAM Neural Networks , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[11]  Peng Yan,et al.  Stability analysis of switched time-delay systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[12]  Wei Wang,et al.  Stability Analysis for Linear Switched Systems With Time-Varying Delay , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[13]  Xinzhi Liu,et al.  Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays , 2008, Appl. Math. Comput..

[14]  Zidong Wang,et al.  Stability and Synchronization of Discrete-Time Markovian Jumping Neural Networks With Mixed Mode-Dependent Time Delays , 2009, IEEE Transactions on Neural Networks.

[15]  Ju H. Park,et al.  DELAY-DEPENDENT STABILITY CRITERION FOR BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH INTERVAL TIME-VARYING DELAYS , 2009 .

[16]  Jinde Cao,et al.  Global robust point dissipativity of interval neural networks with mixed time-varying delays , 2009 .

[17]  C. Ahn An ℋ∞ approach to stability analysis of switched Hopfield neural networks with time-delay , 2010 .

[18]  Wei Xing Zheng,et al.  Delay-Independent Minimum Dwell Time for Exponential Stability of Uncertain Switched Delay Systems , 2010, IEEE Transactions on Automatic Control.

[19]  Kai Zhang,et al.  Exponential stability for switched Cohen–Grossberg neural networks with average dwell time , 2011, Proceedings of the 29th Chinese Control Conference.

[20]  Wei Xing Zheng,et al.  Exponential Stability Analysis for Delayed Neural Networks With Switching Parameters: Average Dwell Time Approach , 2010, IEEE Transactions on Neural Networks.

[21]  Yong Wang,et al.  Stability Analysis of Recurrent Neural Networks with Random Delay and Markovian Switching , 2010 .

[22]  Huaguang Zhang,et al.  Novel Delay-Dependent Robust Stability Analysis for Switched Neutral-Type Neural Networks With Time-Varying Delays via SC Technique , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[23]  Peng Shi,et al.  Delay-dependent exponential stability analysis for discrete-time switched neural networks with time-varying delay , 2011, Neurocomputing.

[24]  Peng Shi,et al.  Delay-Dependent Stability Analysis for Switched Neural Networks With Time-Varying Delay , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[25]  Chuandong Li,et al.  Variable-time impulses in BAM neural networks with delays , 2011, Neurocomputing.

[26]  Yuqiang Wu,et al.  Robust exponential stability analysis of discrete-time switched Hopfield neural networks with time delay ☆ , 2011 .

[27]  Chuandong Li,et al.  Impulsive effects on stability of high-order BAM neural networks with time delays , 2011, Neurocomputing.

[28]  Jie Lian,et al.  Stability analysis for switched Hopfield neural networks with time delay , 2012 .

[29]  Chuandong Li,et al.  Analysis of associative memories based on stability of cellular neural networks with time delay , 2012, Neural Computing and Applications.

[30]  Rathinasamy Sakthivel,et al.  Robust stability criteria for discrete-time switched neural networks with various activation functions , 2012, Appl. Math. Comput..

[31]  Guodong Zhang,et al.  New Algebraic Criteria for Synchronization Stability of Chaotic Memristive Neural Networks With Time-Varying Delays , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[32]  Jinde Cao,et al.  Passivity analysis for switched generalized neural networks with time-varying delay and uncertain output , 2013, IMA J. Math. Control. Inf..

[33]  Jinde Cao,et al.  Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks , 2013 .

[34]  Guodong Zhang,et al.  Global anti-synchronization of a class of chaotic memristive neural networks with time-varying delays , 2013, Neural Networks.

[35]  Long Wang,et al.  On stability of a class of switched nonlinear systems , 2013, Autom..

[36]  Guodong Zhang,et al.  Exponential synchronization of delayed memristor-based chaotic neural networks via periodically intermittent control , 2014, Neural Networks.

[37]  Jinde Cao,et al.  A new switching design to finite-time stabilization of nonlinear systems with applications to neural networks , 2014, Neural Networks.

[38]  Yang Tang,et al.  Stability analysis of switched stochastic neural networks with time-varying delays , 2014, Neural Networks.

[39]  Jinde Cao,et al.  Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays , 2014, Neural Networks.