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Three main large scale system synthesis problems are considered: (p1) Stabilization of interconnected systems using locally stabilizing subsystem controllers, (p2) Stabilization of a multi-channel system via stabilization of its main diagonal subsystems, and (p3) Reliable decentralized stabilization problem. It turns out that all three problems are special cases of a unifying problem of decentralized...
In the decentralized strong stabilization problem for linear time-invariant finite-dimensional systems, the objective is to stabilize a given plant using a stable decentralized controller. A solvability condition for this problem is given in terms of a parity interlacing property which is to be satisfied among the real unstable poles and real unstable decentralized blocking zeros of the plant. The...
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