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Vietnam Journal of Mathematics 38:3 (2010) 341-351  

A Novel Exponential Stability Condition for a Class of Hybrid Neural Networks with Time-varying Delay

P. Niamsup and V.N. Phat

Abstract. This paper proposes a switching design for exponential stability of a class of hybrid neural networks with time-varying delay and various activation functions. By using time-varying delay Lyapunov-Krasovskii functional, a switching rule for the exponential stability is designed in terms of the solution of Riccati-type equations. The approach allows for computation of the bounds that characterize the exponential stability rate of the solution. An example is given to illustrate the result.

2000 Mathematics Subject Classification: 34D20, 37C75, 93D20.

Keywords: Neural networks, swithched systems, exponential stability, time delay, Lyapunov function, Riccati equation.

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Published by Springer since January 2013