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

Thời gian: 09:00 đến 11:30 Ngày 26/04/2023

Địa điểm: Phòng C101, Viện nghiên cứu cao cấp về Toán

Tóm tắt:

Người báo cáo: Lê Văn Ngọc
Abstract:

In this report, we study 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.