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Thời gian: 8h30 ngày 15/11/2023, seminar Toán ứng dụng và Giải tích sẽ tiếp tục tại VPK Toán - Tin
Báo cáo viên: NCS. Trần Nguyên Bình
Tên báo cáo: Guaranteed cost control of fractional-order switched systems with mixed time-varying delays.

Tóm tắt: This research paper investigates the problem of guaranteed cost control for a specific class of fractional-order switched systems characterized by both discrete and distributed time delays. By employing the linear matrix inequality (LMI) approach combined with the refined fractional-order Razumikhin theorem, a constructive geometric design of switching laws is developed to design a guaranteed cost controller ensuring the closed loop system not only asymptotically stable but also guarantees an adequate level of performance. The obtained conditions are dependent on the delays arising from the upper bound of the distributed time delays. These conditions are formulated in the form of linear matrix inequalities, which offers the advantage of efficient solvability using established convex algorithms.  Two numerical examples with simulation results are provided to validate the efficacy of the proposed approach.

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