Asynchronous Guaranteed Cost Control for Markov Jump Systems with Conic-Type Nonlinerities

In this paper, the asynchronous guaranteed cost control for Markov jump systems with conic-type nonlinearities is considered. In order to illustrate the asynchronous situation between controller and system, the hidden Markov model is used. By Lyapunov theory, sufficient conditions are obtained, which can guarantee the finite-time boundedness of the closed-loop system, and yield the minimal guaranteed cost control performance. Finally, an example is given to verify the correctness and reliability of this approach.