Asynchronous control of 2-D Markov jump systems subject to general probabilities information

Abstract

This paper addresses the asynchronous control of 2-D Markov jump systems with general probabilities information based on the hidden Markov model, in which the partial information phenomena on transition probabilities and system mode are considered simultaneously. A hidden Markov model with general probabilities is utilized to describe partial information phenomena. By using the Lyapunov function approach, two H∞ performance analysis criteria for the 2-D Markov jump systems with partial information on both transition probabilities and system mode are established, and the hidden Markov model-based controller design strategy is presented. The application of obtained theoretical results is illustrated via the Darboux equation with Markov jump parameters.