Time domain analysis for discrete difference equation on discrete linear system controllable problem's research

We usually describle a comparatively more complex control system,especially a multi-inputs and multi-outputs system by time domation analytical procedure.While the system's controllability means whether the system is controllable according to certain requirements.It involves not only the system's outputs' controllability but also the controllability of the system's partial or total conditions.The movement is described by difference equation in the linear discrete-time system.Therefore,the problem of controllability of the linear discrete-time system has been converted into a problem of the controllability of discrete-time difference equation.The thesis makes out the determination method of the discrete-time system's controllability and puts forward the sufficient and necessary conditions to determine it's controllability by making a study on the controllability of the linear discrete-time equation.