Robust Performance Analysis of Uncertain Singular Time-Delay Systems
A detailed analysis of specific robustness properties pertaining to a category of uncertain singular time-delay systems is conducted,particularly focusing on systems characterized by both time delay and time-varying parameter uncertainty.By leveraging the construction of a Lyapunov functional and drawing upon Lyapunov stability theory in conjunction with the linear matrix inequality method,a methodology is presented to confer robust stability upon the system,while concurrently ensuring satisfaction of a quadratic performance index.The established condition is reformulated into an equivalent linear matrix inequality feasibility problem,enabling the determination of the upper bound of the minimum system performance through a structured solving approach.