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

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.