A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay

作者：Rajchakit Manlika; Niamsup Piyapong; Rajchakit Grienggrai^*

来源：Advances in Difference Equations, 2013, 2013(1): 44.

DOI：10.1186/1687-1847-2013-44

• neural networks
• switching design
• exponential stability
• interval time-varying delays
• Lyapunov function
• linear matrix inequalities

This paper studies the problem for exponential stability of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessarily differentiable. By constructing a set of argumented Lyapunov-Krasovskii functionals combined with the Newton-Leibniz formula, a switching rule for exponential stability 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) are derived. A numerical example is given to illustrate the effectiveness of the obtained result.

• 出版日期2013