Delay-dependent robust stability and H∞ control for uncertain discrete-time switched systems with mode-dependent time delays

In this paper, we consider the problems of robust stability, robust stabilization and H∞ control via memoryless state feedback for uncertain discrete-time switched systems with mode-dependent time delays. Based on linear matrix inequalities (LMIs), a descriptor model transformation of the system and a switched Lyapunov function, new delay-dependent criteria are established which are not contained in known literatures. Numerical examples are presented to illustrate the effectiveness of the theoretical results.