Abstract:

The linear time-varying periodic system is a kind of important and less investigated system which has extensive application background The basic application instances are intrduced. Two necessary conditions to judge the controllability and observability of time-varying periodic systems are obtained. The determinant condition has such a merit of not calculating the system state transition matrix that it is simple and easy to judge the controllability and observability of time-varying periodic system. The stabilizability issue of the time-varying periodic system under state feedback is considered. The parallel result of controllability and stabilizability of linear time invariant system is derived. It extends the corresponding conclusion of linear time invariant system. The MATLAB numerical example simulation is given. Simulation results validate that the determinant conditions are effective.