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Absolute exponential stability criteria of delay time-varying systems with sector-bounded nonlinearity: a comparison approach
Người báo cáo: TS. Nguyễn Thị Hồng

Thời gian: 9:00, Sáng thứ Ba ngày 7/6/2022

Địa điểm: Phòng 611 (612), nhà A6, Viện Toán học

Link tham dự online: https://meet.google.com/kfk-jzay-pty?pli=1&authuser=1

Tóm tắt: Absolute exponential stability problem of delay time-varying systems (DTVS) with sector-bounded nonlinearity is presented in this paper. Unlike the previous results, usually involving Lyapunov - Krasovskii functionals, we employ the comparison principle and properties of positive systems to derive several novel criteria of absolute exponential stability, for both continuous-time and discrete-time nonlinear DTVS. When applied to the time-invariant case, the obtained stability criteria are shown to cover and extend some previously known results. The theoretical results are illustrated by examples that cannot be treated by the existing ones.

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