Analysis and synthesization for a class of discrete-time Markovian jumping systems with mode-dependent delays and actuators saturation

A class of discrete-time Markovian jumping systems with mode-dependent delays and actuators saturation is investigated in this paper. Sufficient conditions for local stochastic stability is presented, and an estimate of domain of attraction in mean square (DOAMS for short) is provided for the systems. Controller design problems for both mode-dependent and mode-independent cases are considered. A globally convergent algorithm including convex optimization is given to construct corresponding effective controllers. Finally, a numerical example is presented to show the effectiveness of the results.