Robust H_{\infty} finite-time control of nonlinear singular 2-D discrete systems with interval time-varying delay and disturbance

Người báo cáo: Nguyễn Huyền Mười

Thời gian: 9h30, ngày 04/11/2025

Địa điểm: Phòng 508, nhà A6, Viện Toán học

Tóm tắt: This report presents a new approach for studying robust (H_{infty}) finite-time control of nonlinear singular two-dimensional discrete systems with time-varying delays and disturbances. The proposed method combines singular value theory with an analytical recursive technique to design a state feedback controller that guarantees the regularity, causality, and robust finite-time stability of the closed-loop system while ensuring a prescribed (H_{infty}) performance level. Based on these theories, new delay-dependent sufficient conditions for the solvability of the control problem are derived in the form of tractable linear matrix inequalities (LMIs). Finally, a simulation example is provided to demonstrate the validity and effectiveness of the proposed approach.

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Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)