Finite-time dissipative control design for one-sided Lipschitz nonlinear singular Caputo fractional order systems

Time:

Venue/Location: Phòng C101, Viện nghiên cứu cao cấp về Toán

Người báo cáo: Nguyễn Thị Phương
Abstract :
This paper presents an ecient analytical approach for solving the problem of dissipative control in one-sided Lipschitz singular Caputo fractional-order systems subject to nonlinear perturbations. The approach is based on mathematical transformations, fractional calculus, and singularity value theory. A state feedback controller is designed to ensure that the closed-loop system is singular, impulse-free, and nite-time bounded with a dissipativity performance index. The results are established using tractable strict linear matrix inequalities (LMIs) without any equality constraint. A numerical example is provided to demonstrate the eectiveness of the proposed approach.