Switching Stochastic Stability Analysis And Control Of A Class Of Linear System

During the past decades, there has been increasing interest on switched systems because of its important theoretical research value and wide engineering applications, many useful results have been reported. As an important branch of switched systems. switched stochastic delay systems have also drawn many scholars attention. The main contributions are listed as follows.Firstly, the problems on stability analysis and robust H∞control of switched stochastic systems with time delay are researched. Based on multi-Lyapunov function and average dwell time method, exponential mean-square stability and H∞performance are studied, sufficient conditions in the form of linear matrix inequalities (LMIs) are proposed. Then, robust H∞state feedback controller are designed, which can guarantee that the close-loop systems are exponentially mean-square stable with H∞performance γSecondly. the problems on finite time robust H∞control of switched systems with time delay are considered. Some concepts of finite time stochastic mean-square stability and finite time stochastic mean-square bounded of switched stochastic delay systems are proposed. Based on multi-Lyapunov function and average dwell time method, sufficient conditions are presented to guarantee that the system is exponentially mean-square stable. Then, finite time H∞performance of such system is studied and finite time robust H∞controller is designed.Thirdly. stability and H∞performance of switched neutral system are studied. At the beginning of this section. state equations of the system are equivalent in mathematically. Based on average dwell time method, exponential mean-square stability of such system is researched and sufficient conditions are presented in terms of LMIs. Then. H∞performance of such system is considered.Finally. the problems on observer-based robust H∞control of switched systems with time delay are researched. Based on the average dwell time method, an exponential stability condition for switched stochastic systems with time delay is proposed. Then, H∞performance and observer-based robust H∞control for switched stochastic delay systems are developed. The results are presented in terms of LMIs and the observer-based controller can be got by solving the LMIs.