LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays

Abstract In this paper, the global asymptotic stability of neutral-type neural networks with unbounded distributed delays is analyzed by utilizing the Lyapunov–Krasovskii functional and the linear matrix inequality (LMI) approach. A new sufficient condition ensuring the global asymptotic stability for neutral-type neural networks is obtained by using the powerful MATLAB LMI toolbox. Two examples are provided to illustrate the applicability of the stability results.

[1]  Qiang Zhang,et al.  Global exponential stability for nonautonomous cellular neural networks with unbounded delays , 2009 .

[2]  Chuanzhi Bai,et al.  Global stability of almost periodic solutions of Hopfield neural networks with neutral time-varying delays , 2008, Appl. Math. Comput..

[3]  Jinde Cao,et al.  Stability in delayed Cohen–Grossberg neural networks: LMI optimization approach , 2005 .

[4]  Ju H. Park,et al.  State estimation for neural networks of neutral-type with interval time-varying delays , 2008, Appl. Math. Comput..

[5]  A. Tesi,et al.  New conditions for global stability of neural networks with application to linear and quadratic programming problems , 1995 .

[6]  Ju H. Park,et al.  LMI optimization approach on stability for delayed neural networks of neutral-type , 2008, Appl. Math. Comput..

[7]  Ju H. Park,et al.  A new stability criterion for bidirectional associative memory neural networks of neutral-type , 2008, Appl. Math. Comput..

[8]  Jinde Cao,et al.  Stability analysis of delayed cellular neural networks , 1998, Neural Networks.

[9]  Jinde Cao,et al.  Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays , 2006 .

[10]  Zidong Wang,et al.  Robust stability analysis of generalized neural networks with discrete and distributed time delays , 2006 .

[11]  T. Chu,et al.  LMI conditions for stability of neural networks with distributed delays , 2007 .

[12]  Pagavathigounder Balasubramaniam,et al.  New global exponential stability results for neutral type neural networks with distributed time delays , 2008, Neurocomputing.

[13]  Zidong Wang,et al.  On global asymptotic stability of neural networks with discrete and distributed delays , 2005 .

[14]  Abdesselam Bouzerdoum,et al.  Neural network for quadratic optimization with bound constraints , 1993, IEEE Trans. Neural Networks.

[15]  Jinde Cao,et al.  Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays , 2005, Neurocomputing.

[16]  J. Lam,et al.  Delay-dependent exponential stability for a class of neural networks with time delays , 2005 .

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

[18]  Shouming Zhong,et al.  Global stability analysis for a class of neural networks with varying delays and control input , 2007, Appl. Math. Comput..

[19]  Jinde Cao,et al.  A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach , 2005 .

[20]  Leon O. Chua,et al.  Neural networks for nonlinear programming , 1988 .