2021/09/15 by Nguyen Khoa Son, Son, Nguyen Khoa, Lê Văn Ngọc +1 · 1 citation
Engineering · Mathematics · #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Nonlinear Differential Equations Analysis
paper · pdf · doi:10.48550/arxiv.2109.07088
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.