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Seminar Giải tích và Toán ứng dụng

Ngày đăng: 11/12/2019

New results on stability and stabilization of delayed Caputo fractional order systems with convex polytopic uncertainties

Thời gian: 9h00 ngày 18/12/2019

 - Địa điểm: Văn phòng Khoa Toán - Tin, Trường ĐH Khoa học

 - Người Trình bày: NCS. Dương Thị Hồng

 - Tên báo cáo: "New results on stability and stabilization of delayed Caputo fractional order systems with convex polytopic uncertainties"

Tóm tắt báo cáo:  In this report, the problems of robust stability and stabilization, for the first time, are studied for delayed fractional-order linear systems with convex polytopic uncertainties. We derive some sufficient conditions for the problems based on linear matrix inequality technique combined with fractional Razumikhin stability theorem. All the results are obtained in terms of linear matrix inequalities that are numerically tractable. The proposed results are quite general and improve those given in the literature since many factors, such as discrete and distributed delays, convex polytopic uncertainties, global stability and stabilizability, are considered. Numerical examples and simulation results are given to illustrate the effectiveness of the effectiveness of our results.

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