A delay decomposition approach for exponential stability of perturbed neutral systems with mixed delays

Abstract

This paper deals with the exponential stability analysis problem of neutral systems with mixed time delays and nonlinear perturbations. Using the Lyapunov theory and the free weighing matrices method, a delay decomposition approach is developed by introducing a new quadratic Lyapunov Krasovskii functional, which is constructed by uniformly dividing the delay interval into multiple equal length subintervals. Based on this, a new delay dependent robust exponential stability criterion is derived in terms of Linear Matrix Inequalities (LMIs) technique. Numerical examples are carried out to support the applicability of the proposed approach and to demonstrate the effectiveness of our results.I.

Delay-Decomposition Stability Approach of Nonlinear Neutral Systems with Mixed Time-Varying Delays

“…In [2], I. Amri et al have been studied a delay-dependent exponential stability condition for nonlinear neutral systems with mixed delays. They employ a delay-decomposition approach and the known free weighting matrices method.In [3], novel delay-decomposition condition of neutral systems with time-varying delays is proposed and new stability results were derived.…”