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Symmetric linear systems - An application of algebraic systems theoryDynamical systems which contain several identical subsystems occur in a variety of applications ranging from command and control systems and discretization of partial differential equations, to the stability augmentation of pairs of helicopters lifting a large mass. Linear models for such systems display certain obvious symmetries. In this paper, we discuss how these symmetries can be incorporated into a mathematical model that utilizes the modern theory of algebraic systems. Such systems are inherently related to the representation theory of algebras over fields. We will show that any control scheme which respects the dynamical structure either implicitly or explicitly uses the underlying algebra.
Document ID
19830055236
Document Type
Reprint (Version printed in journal)
Authors
Hazewinkel, M. (Rotterdam, Universiteit Rotterdam, Netherlands)
Martin, C. (Case Western Reserve University Cleveland, OH, United States)
Date Acquired
August 11, 2013
Publication Date
June 1, 1983
Publication Information
Publication: International Journal of Control
Volume: 37
ISSN: 0020-7179
Subject Category
CYBERNETICS
Funding Number(s)
CONTRACT_GRANT: NSG-2384
CONTRACT_GRANT: DE-AC01-80RA-5256
CONTRACT_GRANT: NAG2-82
Distribution Limits
Public
Copyright
Other