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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Nguyễn Huyền Mười, Vũ Ngọc Phát, New design of robust $H_\infty$ controllers for descriptor discrete time-varying delay equations with bounded disturbances, Transactions of the Institute of Measurement and Control, 48(2026), 87-97 (SCI(-E); Scopus) .
Lê Xuân Thanh, Lê Dũng Mưu, Nguyễn Văn Quý, A Dual Approach Based Extragradient-Type Method for Solving Quasi-Equilibrium Problems, Journal of Optimization Theory and Applications, Volume 208, article number 59, (2026) .
Vũ Thị Hướng, Ida Litzel, Thorsten Koch, Similarity-based fuzzy clustering scientific articles: Potentials and challenges from mathematical and computational perspectives, Journal of Nonlinear and Variational Analysis 10, 381-401 (2026). (SCI-E, Scopus) .