Abstract
A method to construct optimal memoryless regulators of large scale systems with time-delays in the interconnections and the states is proposed. Each feedback gain of decentralized control laws is obtained directly from solutions of simultaneous linear matrix inequalities. Firstly, a sufficient condition for the stability of the overall closed loop system is presented. Then it is extended so that the overall system and each subsystem remain to be stable, even if all or some of interconnections between subsystems are cut. Lastly, a simplification of the implementation is discussed in perspective of a feedback loop reduction.
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