Abstract
A parameterization of all the decentralized contorller that stabilize a given plant is derived by introducing the new concepts of D-coprime factorization and D-unimodular matrix. As an application of this results, we obtain a necessary and sufficient condition for two plants to be stabilized by a common decentralized controller. Finally we consider the robust stabilization in decentralized control systems and derive an existence condition of a decentralized controller which stabilize all the plants in the class specified by a kind of modified-graph-metric perturbation.
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