Stability of Networked Control Systems with Time-varying Sampling Periods and Partially Known Transition Probabilities

This paper studies the stability and stabilization problems for networked control systems with partially known transition probabilities by using time-varying sampling period method with both packet losses and time-varying time delay where the main focus is the packet-loss issue, packet-loss process is the Markovian packet-loss process and the transition probabilities do not need completely known. The new time-varying time delay definition is given in this paper. A developed packet-loss dependent Lyapunov functional is used to obtain the stability criteria. The sufficient conditions for stochastic stability are derived via linear matrix inequalities(LMIs) formulation and mode-dependent controller design is also presented correspondingly. Finally, the numerical example and simulations have demonstrated the effectiveness of our result.