| In recent years, more and more attention has been taken into the control problem of nonlinear networked control systems. With the increase of research achievements of nonlinear networked control systems, the methods of stability analysis for nonlinear networked systems are becoming diversification. In this paper, the model of networked control system is built by using the variable sampling period approach, and this approach is a novel method. In addition, in recent years, with the rapid development of the networked control systems, non-fragile control problem is becoming a hot issue.The main contribution of this paper is that by using the method of variable sampling period to discretize the system, and further, the stability of the nonlinear networked control systems is studied. The main work is as follows:(1) The stochastic stability of nonlinear networked control systems is analyzed. By employing the method of variable sampling period, the system model of partially unknown transition probability is built, then, the relevant dynamic output feedback controller is designed. At the same time, the corresponding Lyapunov function is constructed for this system. Finally, the system is guaranteed to be stochastic stability under the action of the controller. Moreover, the sufficient conditions of stochastic stability are given in this paper.(2) The stability analysis of nonlinear networked control systems is given in this paper. The model is produced by using the variable sampling period approach, and then, non-fragile guaranteed cost control problem of systems is studied when the transition probability matrix is completely known. Furthermore, for nonlinear networked control systems, the sufficient conditions of stochastic stability are given in the paper. At the same time, the non-fragile output feedback controller is also designed for the nonlinear networked control system. Finally, simulation results are given to show the effectiveness of the proposed approach.
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