Global stabilization via local stabilizing actions
Özgüler, A. B.
IEEE Transactions on Automatic Control
Institute of Electrical and Electronics Engineers
530 - 533
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Stabilization of a linear, time-invariant system via stabilization of its main diagonal subsytems is the underlying problem in all diagonal dominance techniques for decentralized control. In these techniques as well as all Nyquist-based techniques, sufficient conditions are obtained under the assumption that the collection of the unstable poles of all diagonal subsystems is the same as the unstable poles of the overall system. We show that this assumption is by itself enough to construct a solution to the problem at least in cases where the diagonal subsystems have disjoint poles. © 2006 IEEE.
Large scale systems
Linear control systems
Published Version (Please cite this version)http://dx.doi.org/10.1109/TAC.2005.864201
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