Abstract
In this paper, a systematic method of constructing local state feedback for composite control systems is proposed. The composite control systems investigated here are not only composite in the sense that some subsystems are interconnected, but also have a local control input at each subsystem.
This local feedback is a suboptimal control for the composite control systems and the same control is optimal for the disconnected systems. By using this suboptimal control, a sufficient condition for the uniformly asymptotic stability is obtained.
When this condition is satisfied, the suboptimal cost is bounded above by the optimal cost of disconnected systems. Assuming some conditions, a more versatile stability condition is introduced.
