Exponential stability analysis for a class of switched nonlinear time-varying functional differential systems

TL;DR

This paper develops new delay-independent criteria for the exponential stability of switched nonlinear time-varying functional differential systems, improving upon existing results and applicable under arbitrary switching with average dwell time constraints.

Contribution

It introduces a unified approach and new stability criteria that generalize and enhance previous stability conditions for a broad class of switched systems.

Findings

New delay-independent exponential stability criteria

Criteria cover and improve existing stability results

Validated with illustrative examples

Abstract

This paper proposes a unified approach for studying global exponential stability of a general class of switched systems described by time-varying nonlinear functional differential equations. Some new delay-independent criteria of global exponential stability are established for this class of systems under arbitrary switching which satisfies some assumptions on the average dwell time. The obtained criteria are shown to cover and improve many previously known results, including, in particular, sufficient conditions for absolute exponential stability of switched time-delay systems with sector nonlinearities. Some simple examples are given to illustrate the proposed method.