A NOVEL GUARANTEED COST CONTROL FOR HOPFIELD NEURAL NETWORKS WITH MULTIPLE TIME-VARYING DELAYS
Grienggrai Rajchakit · International Journal of Pure and Apllied Mathematics · 2014
This paper studies the problem of guaranteed cost control for a class of Hopfield delayed neural networks with multiple time-varying delays.The time delay is a continuous function belonging to a given interval, but not necessary to be 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 combined with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless state feedback control 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).