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System theory on group manifolds and coset spaces.The purpose of this paper is to study questions regarding controllability, observability, and realization theory for a particular class of systems for which the state space is a differentiable manifold which is simultaneously a group or, more generally, a coset space. We show that it is possible to give rather explicit expressions for the reachable set and the set of indistinguishable states in the case of autonomous systems. We also establish a type of state space isomorphism theorem. Our objective is to reduce all questions about the system to questions about Lie algebras generated from the coefficient matrices entering in the description of the system and in that way arrive at conditions which are easily visualized and tested.
Document ID
19720051283
Document Type
Reprint (Version printed in journal)
Authors
Brockett, R. W. (Harvard University Cambridge, Mass., United States)
Date Acquired
August 6, 2013
Publication Date
May 1, 1972
Subject Category
MATHEMATICS
Funding Number(s)
CONTRACT_GRANT: NGR-22-007-172
CONTRACT_GRANT: N00014-67-A-0298-0006
Distribution Limits
Public
Copyright
Other