On algebraic properties of general proper decentralized systems
Date
1993
Authors
Yu, R.
Sezer, M. E.
Gao, W.
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Source Title
Systems and Control Letters
Print ISSN
0167-6911
Electronic ISSN
Publisher
Elsevier
Volume
21
Issue
3
Pages
241 - 248
Language
English
Type
Journal Title
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Abstract
The new concepts of the decentralized output feedback variable polynomial, the decentralized output feedback cycle index of general proper systems, and the geometric multiplicities of decentralized fixed modes are introduced. Their computational methods and some algebraic properties are presented. It is shown that the decentralized output feedback cycle index of a general proper system is equal to one when the system has no fixed modes or equal to the maximum of the geometric multiplicities of its decentralized fixed modes. It is also shown that almost all decentralized output feedback can be used to make the zeros of the decentralized variable polynomial distinct, and disjoint from any given finite set of points on the complex plane.
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Keywords
Algebraic properties , Control system analysis , Decentralized systems , Fixed modes , Output feedback , Computational methods , Constraint theory , Control system analysis , Describing functions , Poles and zeros , Polynomials , State estimation , State space methods , Algebraic properties , Decentralized systems , Fixed modes , General proper decentralized system , Output feedback , Distributed parameter control systems