The Research Of Stabilization Of Linear Switched Systems With State Multiple Time-Delay

The multiple time-delay switched system is a type of new complicated system. It has the extensive actual background and theories to study. The interactions of the continuous dynamic state, discrete dynamic state and the time-delay make the dynamic state of the system become very complicated. The system course mechanism even not clarity, a mass of analyses and colligate issue still need to settle. There are many research results for time delays switched system now, but Switched System with State Multiple Time Delays just is studied. There are few results. This text mainly researches on the State Multiple time delays switched system, the main contents concluded as follows:The First part is concerned about linear autonomy state multiple time delays switched system. By the Lyapunov function and LMI and the H∞robust control method research on the stability and the H∞performance of the system, sufficient condition is educed and the numerical example is given and emulated.The Second part is concerned about linear State Multiple time delays feedback switched system. By the Lyapunov function and LMI and the H∞robust control method research on the stability and the H∞performance of the system, sufficient condition is educed and the numerical example is given and emulated.The third part is concerned about uncertain linear State Multiple time delays switched system. By the Lyapunov function and LMI and the H∞robust control method research on the stability and H∞performance of the system, sufficient condition is educed and the numerical example is given and emulated.At last, sufficient conditions of the stability and H∞performance are brought in the actualsystem. In this Thesis, multiple time delays network switched control system is studied, and the conclusions of the preceding chapters are applied to the multiple time delays network switched control system in stability and robust H∞performance, and numerical example is given and emulated.