Robust mode-dependent control for discrete-time singular Markovian jump systems with time-varying delay

AbstractThis study investigates the problem of robust mode-dependent control for a class of discrete-time singular Markovian jump systems with time-varying delay. Using the Lyapunov functional method and delay decomposition approach, Linear matrix inequality (LMI)-based sufficient conditions for the stochastic stability and robust mode-dependent control are developed, which guarantee the considered systems to be regular, causal and stochastically stabilisable. Finally, numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.