| Switched neutral systems are a class of switched systems with a broad range of application,the application of the systems is embodied in various aspects of actual life,such as electric power systems,robot control systems,automotive engine control systems,ect.Along with the deepening of the research on finite-time control problem,the scholars found that the closed-loop control system under finite-time controller has better robust performance,precision and anti-jamming ability compared with the non-finite time.So finite-time control of the switched neutral system gets more and more attention of scholars.In this paper,by constructing suitable Lyapunov function and application of all kinds of relevant methods such as average dwell time,convex optimization and linear matrix inequality method,the finite-time control problems of switched neutral systems with the time-delays and uncertainties are studied.The main results of this paper are as follows:Firstly,the problem of switched neutral time-delay system with actuator saturation which based on state feedback controller is investigated.With the proper Lyapunov function and linear matrix inequality methods,sufficient conditions that ensure the system finite-time bounded and finite-time H?bounded is obtained.Secondly,the problem of finite-time bounded of uncertain switched neutral systems with mixed time-delay based on the memory feedback controller is studied.The new criterion of the finite-time bounded and finite-time H?bounded is gained by constructing a new Lyapunov function and matrix inequality.Finally,due to the nonlinear disturbance in the actual engineering systems,this paper discusses the nonlinear disturbance and hybrid switch neutral delay system problem of finite-time bounded by using the average residence time and linear matrix inequality method.Sufficient conditions of finite time bounded and finite-time H? bounded of the system are contained and calculate the corresponding state feedback controller. |
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