Guaranteed cost control for switched recurrent neural networks with interval time-varying delay

Journal of inequalities and applications

Piyapong Niamsup¹ 

关键词: neural networks;    guaranteed cost control;    switching design;    stabilization;    interval time-varying delays;    Lyapunov function;    linear matrix inequalities;   

DOI  :  10.1186/1029-242X-2013-292

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper studies the problem of guaranteed cost control for a class of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessary differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functionals, a guaranteed cost controller is designed via memoryless state feedback control, a switching rule for the exponential stabilization for the system is designed via linear matrix inequalities and new sufficient conditions for the existence of the guaranteed cost state-feedback for the system are given in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the obtained result.

【 授权许可】

CC BY