On Dynamic Systems with Decentralized Control

Abstract : The paper discusses stabilizability of decentralized linear dynamical systems with proportional feedback or dynamic controllers. Decentralized control systems are defined to be dynamical systems with several controllers, each operating on the system with partial information on the states of the systems. In certain cases, this restriction amounts to certain structural constraints on the feedback control matrices. With the constraints, controllability of the systems does no longer imply stabilizability. Algebraic and geometric approaches are used to obtain stabilizability conditions for decentralized systems. (Author)