New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay Using Delay-Decomposition Approach

This brief is concerned with the problem of asymptotic stability of neural networks with time-varying delays. The activation functions are monotone nondecreasing with known lower and upper bounds. Novel stability criteria are derived by employing new Lyapunov-Krasovskii functional and the integral inequality. The developed stability criteria have delay dependencies and the results are characterized by linear matrix inequalities. New and less conservative solutions to the global stability problem are provided in terms of feasibility testing. Numerical examples are finally given to demonstrate the effectiveness of the proposed method.

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

[2]  Huaguang Zhang,et al.  Novel Weighting-Delay-Based Stability Criteria for Recurrent Neural Networks With Time-Varying Delay , 2010, IEEE Transactions on Neural Networks.

[3]  Sabri Arik,et al.  Global stability of a class of neural networks with time-varying delay , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[4]  X. Guan,et al.  New results on stability analysis of neural networks with time-varying delays , 2006 .

[5]  James Lam,et al.  A New Criterion of Delay-Dependent Asymptotic Stability for Hopfield Neural Networks With Time Delay , 2008, IEEE Transactions on Neural Networks.

[6]  Zhanshan Wang,et al.  Global Asymptotic Stability of Delayed Cellular Neural Networks , 2007, IEEE Transactions on Neural Networks.

[7]  Guang-Hong Yang,et al.  New Delay-Dependent Stability Results for Neural Networks With Time-Varying Delay , 2008, IEEE Transactions on Neural Networks.

[8]  Yuanqing Xia,et al.  LMI-based exponential stability criterion for bidirectional associative memory neural networks , 2010, Neurocomputing.

[9]  Magdi S. Mahmoud.  Extended state estimator design method for neutral-type neural networks with time-varying delays , 2012 .

[10]  Yong He,et al.  Complete Delay-Decomposing Approach to Asymptotic Stability for Neural Networks With Time-Varying Delays , 2011, IEEE Transactions on Neural Networks.

[11]  M S Mahmoud,et al.  Robust global stability of discrete-time recurrent neural networks , 2009 .

[12]  Magdi S. Mahmoud.  Novel robust exponential stability criteria for neural networks , 2009, Neurocomputing.

[13]  Peng Shi,et al.  Robust exponential stability for discrete-time interval BAM neural networks with delays and Markovian jump parameters , 2010 .

[14]  Guo-Ping Liu,et al.  New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay , 2007, IEEE Transactions on Neural Networks.

[15]  G. P. Liu,et al.  Nonlinear Identification and Control: A Neural Network Approach [Book Review] , 2002, IEEE Control Systems.

[16]  Shouming Zhong,et al.  Improved Exponential Stability Analysis for Delayed Recurrent Neural Networks , 2014 .

[17]  S. Arik,et al.  New exponential stability results for delayed neural networks with time varying delays , 2004 .

[18]  Magdi S. Mahmoud,et al.  New exponentially convergent state estimation method for delayed neural networks , 2009, Neurocomputing.

[19]  Huaguang Zhang,et al.  Global Asymptotic Stability of Recurrent Neural Networks With Multiple Time-Varying Delays , 2008, IEEE Transactions on Neural Networks.

[20]  Magdi S. Mahmoud,et al.  Improved results on robust exponential stability criteria for neutral-type delayed neural networks , 2010, Appl. Math. Comput..

[21]  Shen-Ping Xiao,et al.  New Globally Asymptotic Stability Criteria for Delayed Cellular Neural Networks , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.