Optimal guaranteed cost control for uncertain stochastic singular systems with time-varying delays
XU Fang
WANG Tiancheng
Abstract：In this paper,for a class of uncertain stochastic singular time-varying delay systems,we derived sufficient conditions for the robustly mean-square admissibility of the closed-loop system by constructing a stochastic Lyapunov functional and its compensation term of infinitesimal operator,and applying Moore-Penrose inverse formulae and the free matrix inequality,and then applying the properties of matrix traces to design the optimal guaranteed cost controller for the system.Finally,the effectiveness of the designed scheme is verified by numerical examples.
Keywords：stochastic singular systemtime-varying delaysoptimal guaranteed cost control
Publication Date：2025-05-31
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 42-47 )