Global exponential stability of switched systems with interval time-varying delays and multiple non-linearities via simple switching signal design

Abstract

In this paper, the robust global exponential stability for switched time-delay systems with multiple non-linearities is investigated via a simple switching signal design. Linear matrix inequality-based delay-dependent stability criteria are proposed to design the switching signal and guarantee the global exponential stability. A simple switching signal design scheme and a new delay-partitioning approach are developed to improve the conservativeness of the proposed results. Finally, some numerical examples are illustrated to show the main improvement.