A Delay-Range-Dependent Approach to Design State Estimator for Discrete-Time Recurrent Neural Networks With Interval Time-Varying Delay

This paper deals with the problem of state estimation for discrete-time recurrent neural networks with interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. A delay-range-dependent condition for the existence of state estimators is proposed. Via available output measurements and solutions to certain linear matrix inequalities, general full-order state estimators are designed that ensure globally asymptotic stability. Two illustrative examples are given to demonstrate the effectiveness and applicability.

[1]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[2]  Qing-Guo Wang,et al.  Delay-Dependent State Estimation for Delayed Neural Networks , 2006, IEEE Transactions on Neural Networks.

[3]  Zidong Wang,et al.  Design of exponential state estimators for neural networks with mixed time delays , 2007 .

[4]  Neyir Ozcan,et al.  Global robust stability analysis of neural networks with multiple time delays , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Zidong Wang,et al.  A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays , 2007 .

[6]  Wu-Hua Chen,et al.  Global exponential stability for discrete-time neural networks with variable delays , 2006 .

[7]  Daniel W. C. Ho,et al.  State estimation for delayed neural networks , 2005, IEEE Transactions on Neural Networks.

[8]  Xiaofeng Liao,et al.  Delay-dependent asymptotic stability for neural networks with time-varying delays , 2006 .

[9]  Jinde Cao,et al.  Global asymptotic and robust stability of recurrent neural networks with time delays , 2005, IEEE Trans. Circuits Syst. I Regul. Pap..

[10]  Peng Shi,et al.  New global asymptotic stability criterion for neural networks with discrete and distributed delays , 2007 .

[11]  Qing-Long Han,et al.  Discrete-Time Analogs for a Class of Continuous-Time Recurrent Neural Networks , 2007, IEEE Transactions on Neural Networks.

[12]  Jun Wang,et al.  Global robust stability of a class of discrete-time interval neural networks , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[13]  Andreas Antoniou,et al.  Multiuser detectors for synchronous DS-CDMA systems based on a recursive p-norm convex relaxation approach , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.