Impulsive Control And Synchronization Of Time-Delay Systems

Impulsive control, as a classical control method, has been applied to the control of many complex systems. This dissertation considers impulsive control and synchronization problem of time-delay systems and includes the following problems:1. Stability and synchronization of a class of time-delay chaotic system are studied and delay independent sufficient conditions of stability and synchronization of time-delay chaotic system are provided. Then, suitable control law can be designed by using these sufficient conditions, and control target for stability and synchronization of time-delay chaotic system can be achieved. Wang's time-delay chaotic system is used to illustrate the effectiveness of derived results.2. Stability and synchronization of a class of time-delay chaotic system are studied and delay dependent sufficient conditions of stability and synchronization of time-delay chaotic system are provided. Then, suitable control law can be designed by using these sufficient conditions, and control target for stability and synchronization of time-delay chaotic system can be achieved. Chua time-delay chaotic system is used to illustrate the effectiveness of derived results.3. Stability of a class of distributed time-delay system is studied and sufficient conditions of stability of distributed time-delay system are provided by using solution estimation method. Then, suitable control law can be designed by using these sufficient conditions, and control target for stability of distributed time-delay system can be achieved. A good example is used to illustrate the effectiveness of derived results. 4. Stability of a class of distributed time-delay system is studied and sufficient conditions of stability of distributed time-delay system are provided by using Razumikhin method. Then, suitable control law can be designed by using these sufficient conditions, and control target for stability of distributed time-delay system can be achieved. A good example is used to illustrate the effectiveness of derived results.