Stability of Markovian Jump Linear Systems over Networks with Random Delays

摘要

This paper studies the stability problem for Markovian jump linear systems over networks. A new model is proposed to describe the output-feedback closed-loop system with random delays. The necessary and sufficient conditions for the stochastic stability are derived. The three-mode-dependent controller is solved by the iterative Linear Matrix Inequality (LMI) approach. An illustrative example is given to demonstrate the effectiveness of the proposed method.