Research On Feedback Control Of Nonlinear Neutral Stochastic Time-delay System

In actual physical systems,the hybrid stochastic systems with Markovian switching play an important role in modeling when the structure and parameters of the system change abruptly,Neutral stochastic delay systems provide an important modeling tool when the delay argument of the system occurs in the derivative of the state variable.It is an indispensable branch to study the stability and boundedness of corresponding systems,and it has important practical significance and application value.Therefore,in recent years,there is a lot of discussion about the stability of nonlinear neutral stochastic systems in the academic circle.At the same time,scholars have made a series of excellent research results,but there are many problems worth discussing and improving in the further.In this paper,the stabilization problem of nonlinear neutral stochastic differential delay systems is studied as follows:(1)For the stability problem of a class of nonlinear neutral stochastic delay systems with Markovian switching,two kinds of event trigger control strategies are designed,which is the periodic event-generators and the continuous event-generators.The designed control rules not only avoid Zeno phenomenon,but also ensure that the corresponding studied systems satisfy global mean square exponentially stable.(2)For the stability problem of a class of neutral stochastic delay systems in which coefficients satisfy highly nonlinear,the discrete-time observation mechanism is designed to stabilize the studied systems.In addition,a more general Lyapunovfunction is constructed to prove that the designed controller can stabilize the corresponding systems.and proves successfully that the controlled system satisfies H_∞-stability,asymptotic stability and exponential stability by using comparison principle,inequality reduction method.(3)For the stability problem of a class of neutral stochastic delay systems in which coefficients satisfy highly nonlinear,an intermittent feedback control is designed to stabilize the corresponding systems.Different from the existing intermittent controllers,the effective time domain of an intermittent controller can change,arbitrarily,and the admissible different input forms of intermittent control depending on the different effective time domain,such as periodic-time inputs,bounded-aperiodic-time inputs,exponential-aperiodic-time inputs,the full-time inputs and so on.Under all the control strategies of the above design,using It?formula,M-matrix and and Lyapunov function analysis method,the criterion conditions for the stability of the corresponding controlled system are given respectively,and the correctness of the stability conditions is proved.Finally,The effectiveness of the controlled method are verified by numerical simulation.