Finite-time $H_{\infty}$ resilient control of switched singular time-delay systems with quadratically inner-bounded nonlinearity

This paper investigates the finite-time
$H_{\infty}$
resilient dynamic output feedback (DOF) control problem for discrete-time switched singular time-delay system (DSSTS) with quadratically inner-bounded nonlinearity. The coefficient matrices of controller contain additive uncertainties. First, by constructing a Lyapunov-Krasovskii functional and applying the average dwelling time (ADT) methods, some sufficient conditions are given to assure the closed-loop system is finite-time bounded with an
$H_{\infty}$
performance index. Then, adopting the matrix decoupling technique, a novel linear matrix inequality (LMI) condition is obtained, which can derive the design of controller. Finally, a numerical example is given to the illustrate the effectiveness of results.