Optimal stabilization of linear systems via decentralized feedback

This paper presents an approach to the optimal stabilization of a linear time invariant system via decentralized control. The class of controllers considered does not restrict the controller to be finite dimensional or time-invariant. In fact, the controller structure proposed can be regarded as a form of time-varying sampled data control. The main result of the paper presents a scheme for constructing such a collection of decentralized controllers which stabilizes the system and is optimal with respect to a quadratic performance index.