A Method of Robust Stabilization for the Delay Neural Networks with Nonlinear Perturbations

Abstract

In this paper, we consider a class of time-delay dynamical systems with nonlinear perturbation. The nonlinear perturbation functions are assumed bounded. we provide a robust stabilization criterion via designing a memoryless state feedback controller for the time-delay dynamical neural networks with nonlinear perturbation. The sufficient criterion is given in terms of linear matrix inequality (LMI). The checking for robust stabilization of time-delay dynamical neural networks with nonlinear perturbation by our result can be carried out rather simply, and convenient for the application. The applicability of our results is demonstrated by means of two specific examples.

Exponential Stabilization of Neutral‐Type Neural Networks with Interval Nondifferentiable and Distributed Time‐Varying Delays

“…The problem is concerned with designing a single controller which can simultaneously stabilize a set of systems. Recently, the exponential stability and stabilization problems for time-delay systems have been studied by many researchers, see 8, 12, 18, 19 . Among the usual approach, there are many results on the stabilization problem of neural networks being reported in the literature see 2,9,15,16,20,21 . In 21 , robust stabilization criterion are provided via designing a memoryless state feedback controller for the time-delay dynamical neural networks with nonlinear perturbation.…”