Abstract
This paper considers a large-scale linear time-varying system, and is concerned with the problem of stabilizing the overall system by means of subsystem stabilization. Concerning the problem, it is known that the stability of subsystems does not generally imply that of the overall system. However, it can be expected that the overall system is stable if all subsystems are sufficiently stable.
This paper gives a method of stabilization accomplished by feedback and feedforward of the state-variables of each subsystem, and a condition for the overall system to be stabilizable with an arbitrarily specified degree of stability. It is remarkable that in other method, the stabilization of subsystems does not necessarily imply the stabilization of the overall system.
