Globally exponential stability for neural networks with time-varying delays

In this paper, together with some Lyapunov-Krasovskii functionals and effective mathematical techniques, several conditions are derived to guarantee a class of neural networks with discrete and distributed time-varying delays to be globally exponential stability. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.

[1]  Long Wang,et al.  Stability Analysis of Positive Systems With Bounded Time-Varying Delays , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[2]  Peng Shi,et al.  Stochastic Synchronization of Markovian Jump Neural Networks With Time-Varying Delay Using Sampled Data , 2013, IEEE Transactions on Cybernetics.

[3]  Xun-lin Zhu,et al.  Delay-dependent exponential stability for neural networks with discrete and distributed time-varying delays , 2009 .

[4]  Peng Shi,et al.  Passivity Analysis for Discrete-Time Stochastic Markovian Jump Neural Networks With Mixed Time Delays , 2011, IEEE Transactions on Neural Networks.

[5]  Ju H. Park,et al.  Dissipativity analysis for singular systems with time-varying delays , 2011, Appl. Math. Comput..

[6]  S. Zhong,et al.  T-S fuzzy model-based impulsive control of chaotic systems with exponential decay rate , 2007 .

[7]  Changyin Sun,et al.  Exponential stability of recurrent neural networks with time-varying discrete and distributed delays , 2009 .

[8]  Ju H. Park,et al.  New approaches on stability criteria for neural networks with interval time-varying delays , 2012, Appl. Math. Comput..

[9]  Ju H. Park,et al.  New results on exponential passivity of neural networks with time-varying delays , 2012 .

[10]  Long-Yeu Chung,et al.  Global asymptotic stability for cellular neural networks with discrete and distributed time-varying delays , 2007 .

[11]  Shouming Zhong,et al.  New delay-dependent exponential stability criteria for neural networks with discrete and distributed time-varying delays , 2011, Neurocomputing.

[12]  Bo Song,et al.  Exponential synchronization for complex dynamical networks with sampled-data , 2012, J. Frankl. Inst..

[13]  Shouming Zhong,et al.  Delay-dependent stochastic stability criteria for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates , 2012, Appl. Math. Comput..

[14]  Long Wang,et al.  Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays , 2010, IEEE Transactions on Automatic Control.

[15]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[16]  Ju H. Park,et al.  SYNCHRONIZATION OF NEURAL NETWORKS OF NEUTRAL TYPE WITH STOCHASTIC PERTURBATION , 2009 .

[17]  Zidong Wang,et al.  Neural networks with discrete and distributed time-varying delays: A general stability analysis , 2008 .

[18]  Yang Li,et al.  Improved stability criteria for uncertain delayed neural networks , 2012, Neurocomputing.

[19]  Zidong Wang,et al.  Global exponential stability of generalized recurrent neural networks with discrete and distributed delays , 2006, Neural Networks.

[20]  Hongye Su,et al.  Improved Delay-Dependent Stability Condition of Discrete Recurrent Neural Networks With Time-Varying Delays , 2010, IEEE Transactions on Neural Networks.

[21]  Chuangyin Dang,et al.  Stability Analysis of Positive Switched Linear Systems With Delays , 2011, IEEE Transactions on Automatic Control.

[22]  Ju H. Park,et al.  Analysis on delay-dependent stability for neural networks with time-varying delays , 2013, Neurocomputing.

[23]  Xingwen Liu,et al.  Necessary and sufficient asymptotic stability criterion for 2-D positive systems with time-varying state delays described by Roesser model , 2011 .

[24]  Yong Wang,et al.  Improved exponential stability criteria for neural networks with time-varying delays , 2012, Neurocomputing.

[25]  Ju H. Park,et al.  A novel delay-dependent criterion for delayed neural networks of neutral type , 2010 .

[26]  Ju H. Park,et al.  Exponential stability analysis for uncertain neural networks with interval time-varying delays , 2009, Appl. Math. Comput..

[27]  Ju H. Park,et al.  Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays , 2008, J. Frankl. Inst..

[28]  Shouming Zhong,et al.  Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations , 2013, Appl. Math. Comput..

[29]  Zhengguang Wu,et al.  New results on delay-dependent stability analysis for neutral stochastic delay systems , 2013, J. Frankl. Inst..

[30]  Xingwen Liu.  Delay-dependent H∞ control for uncertain fuzzy systems with time-varying delays , 2008 .

[31]  Xingwen Liu,et al.  DELAYED FUZZY CONTROLLER DESIGN FOR HYPERCHAOS WITH APPLICATION TO HYPERCHAOTIC CHEN'S SYSTEM , 2007 .

[32]  Ju H. Park,et al.  State estimation of neural networks with time-varying delays and Markovian jumping parameter based on passivity theory , 2012 .

[33]  Zidong Wang,et al.  On Robust Stability of Stochastic Genetic Regulatory Networks With Time Delays: A Delay Fractioning Approach , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).