Algebraic characterization of decentralized fixed modes and pole assignment

Vidyasagar, M. ; Viswanadham, N. (1982) Algebraic characterization of decentralized fixed modes and pole assignment Proceedings of 21st IEEE Conference on Decision and Control, 21 . pp. 501-505.

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Related URL: http://dx.doi.org/10.1109/CDC.1982.268191

Abstract

An input-output, frequency domain characterization of decentralized fixed modes is given in this paper, using only standard block-diagram algebra, well-known determinantal expansions and the Binet-Cauchy formula. Using this characterization, an algebraic proof is presented of the fact that, in a strongly connected system, spectrum assignment (stabilization) is possible using decentralized dynamic compensation if and only if the system has no fixed modes (only stable fixed modes).

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