Stability Analysis of Neutral Neural Networks with Time Delay

A method is proposed for asymptotic stability analysis of neutral neural networks with delayed state. The delay is assumed unknown, but constant. Sufficient conditions on delay-independent asymptotic stability are given in terms of the existence of symmetric and positive definite solutions of a constant Riccati algebraic matrix equation coupled with a discrete Lyapunov equation.

[1]  Xiaoxin Liao,et al.  Stability Analysis of Uncertain Neural Networks with Delay , 2004, ISNN.

[2]  Liao Xiao-xin.  Exponential stability for stochastic interval delayed Hopfield neural networks , 2003 .

[3]  Guoying Zhao,et al.  Stochastic High-Order Hopfield Neural Networks , 2005, ICNC.

[4]  Xiaoxin Liao,et al.  Globally Stable Periodic State of Delayed Cohen-Grossberg Neural Networks , 2005, ISNN.

[5]  Xiaoxin Liao,et al.  Stability Analysis of Uncertain Neural Networks with Linear and Nonlinear Time Delays , 2005, ISNN.

[6]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[7]  Guoying Zhao,et al.  Stochastic Lotka-Volterra Competitive Systems with Variable Delay , 2005, ICIC.

[8]  Yi Shen,et al.  Global Exponential Stability of Cohen-Grossberg Neural Networks with Time-Varying Delays and Continuously Distributed Delays , 2005, ISNN.

[9]  Jun Wang,et al.  Algebraic criteria for global exponential stability of cellular neural networks with multiple time delays , 2003 .

[10]  Jun Wang,et al.  Global exponential stability of a general class of recurrent neural networks with time-varying delays , 2003 .

[11]  Jinde Cao,et al.  On the Exponential Stability and Periodic Solutions of Delayed Cellular Neural Networks , 2000 .

[12]  Liao Xiao,et al.  Globally Exponential Stability of Hopfield Neural Networks with Time varying Delays , 2000 .

[13]  Zhigang Zeng,et al.  Stability analysis of delayed cellular neural networks described using cloning templates , 2004, IEEE Trans. Circuits Syst. I Regul. Pap..

[14]  Lei Guo,et al.  On Stochastic Neutral Neural Networks , 2005, ISNN.

[15]  Curt Wentrup,et al.  Reactive Molecules: The Neutral Reactive Intermediates in Organic Chemistry , 1984 .