Manlika Rajchakit, Grienggrai Rajchakit
Department of Mathematics and Statistics
Maejo University
Chiangmai, 50290, THAILAND

Abstract. This paper studies the problem for exponential stability of switched neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a set of augmented Lyapunov-Krasovskii functional combined with Newton-Leibniz formula, a switching rule and switching design for exponential stability for of switched recurrent neural networks with interval time-varying delay is designed via linear matrix inequalities, and new sufficient conditions for the exponential stability of switched recurrent neural networks with interval time-varying delay via linear matrix inequalities(LMIs).

Received: January 20, 2014

AMS Subject Classification: 92B05, 93D20

Key Words and Phrases: neural networks, switching design, exponential stability, interval time-varying delays, Lyapunov function, linear matrix inequalities

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