Asynchronous dissipative static output feedback control for discrete-time Markov jump systems with nonlinearities

The problem of asynchronous dissipative static output feedback control for discrete-time MJs with nonlinearities is concerned in this paper. The controller modes and system modes in this studied system model are regarded as asynchronous. Using a Markov chain, which can present the various degrees asynchronous jump, to govern the controller modes. The dissipative control theory is introduced to study the dissipative and stable performance. Through methods of LMI technique and Lyapunov theory, the sufficient condition is derived and an asynchronous static output feedback controller is designed. The stochastically stable and strictly dissipative performance of the closed-loop system is ensured.