Global stabilization via local stabilizing actions
Date
2006
Authors
Özgüler, A. B.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
Electronic ISSN
Publisher
Institute of Electrical and Electronics Engineers
Volume
51
Issue
3
Pages
530 - 533
Language
English
Type
Journal Title
Journal ISSN
Volume Title
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Abstract
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.