Stability Analysis And Control For Neutral-type Stochastic Systems With Markovian Jump

The stability theory of neutral stochastic systems with Markovian jumps has been developed in recent years,but it is not perfect.Based on Lyapunov-Krasovskii theory and linear matrix inequality method,the stability of neutral stochastic systems with switching and Markovian jumps is analyzed in detail.The paper is divided into three parts:Chapter 1 mainly introduces the background,significance and research purpose related to the content of the dissertation.In the second chapter,a memoryless feedback observer is designed for a class of Markovian jump neutral stochastic systems with time-delay and partial parameter uncertainties.The observer considers the constraint and delay effect on the control input.Based on the Lyapunov-Krasovskii theory and the linear matrix inequality method,the sufficient conditions for the asymptotic stability of this kind of stochastic systems are given,and a detailed proof process is given.The last part of the chapter illustrates the validity and feasibility of the method proposed in this chapter by numerical examples.The third part mainly studies the mean square exponential stability problem of neutral stochastic systems with switched and Markovian jumps.In this model,the probability of transition is divided into two known and unknown cases.In this section,we know that the unknowns are divided into known ranges of values(estimates)and all unknown cases.Use a special matrix to establish the switching order between the different modes.In this part,we use the Lyapunov-Krasovskii function,and give the sufficient conditions for the stability of the system's mean square exponents for the Markovian jump neutral stochastic systems with general switching and uncertain probability of transfer.At the end of this chapter,we use Matlab to simulate the system and give numerical examples to illustrate the validity and feasibility of the conclusions.