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Stability and stabilization for time-varying networked control systems with partly unknown transition probabilities

This paper studies the stability and stabilization problems for networked control systems with partly unknown transition probabilities by using time-varying sampling period method where the main focus is the packet-loss issue,packet-loss process is the Markovian packet-loss process and the transition probabilities does not require completely known. A developed packet dropouts dependent Lyapunov functional is used to obtain the stability criteria. The sufficient conditions for stochastic stability are derived via LMIs formulation and mode-dependent controller design is also presented. Finally, the numerical example and simulations have demonstrated the effectiveness of our result.