Discrete-time Feedback Stabilization Study For Classes Of Stochastic Nonlinear Systems

Stochastic nonlinear systems are a typical model of nonlinear systems,which have been kept a watchful eye by academics in recent decades,and many researches have been studied on stability analysis and stabilization design for stochastic nonlinear systems.In this paper,we first study the sufficient conditions that satisfies exponential stability in the p(p>2)-th moment for a class of stochastic hybrid systems under discrete-time feed-back controller of deterministically sampling mechanism.Based on the existing results,the more general case p>2 is considered,which enriches the theory of nonlinear control design.By utilizing Ito formula and stochastic Lyapunov stability theory,sufficient con-ditions are obtained which ensures the desired control objectives of the controlled system,and we further analyse the almost sure exponential stability of the controlled system.Secondly,this paper investigates the discrete-time feedback stabilization problem for a class of sampled-data networked stochastic nonlinear systems with Markovian packet losses.The random packet losses phenomenon for sampled-data networked stochastic nonlinear systems is turned equivalently into randomly sampling mechanism,then based on exponential stability in p-th moment of continuous-time auxiliary system,and using Ito formula and stochastic Lyapunov stability theory,the sufficient conditions that the existence of exponentially stable in p-th moment controller for the original system are given.Finally,since the time consumption caused by data sampling,transmission and actuator implementation to result in the time delay,and the existence of time delay can inevitably influence the stability of system.Therefore,on the basic of the last prob-lem investigated,we consider the discrete-time feedback stabilization problem under the controller with time delay,which makes the system model studied more general.