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Discretized partial differential equations - Examples of control systems defined on modulesThe purpose of this paper is to show how the important problems of linear system theory can be solved concisely for a particular class of linear systems, namely block circulant systems, by exploiting the algebraic structure. This type of system arises in lumped approximations to linear partial differential equations. The computation of the transition matrix, the variation of constants formula, observability, controllability, pole allocation, realization theory, stability and quadratic optimal control are discussed. In principle, all questions which are solved here could also be solved by standard methods; the present paper clearly exposes the structure of the solution, and thus permits various savings in computational effort.
Document ID
19750033309
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Brockett, R. W.
(Harvard University Cambridge, Mass., United States)
Willems, J. L.
(Gent Rijksuniversiteit, Ghent, Belgium)
Date Acquired
August 8, 2013
Publication Date
September 1, 1974
Publication Information
Publication: Automatica
Volume: 10
Subject Category
Cybernetics
Accession Number
75A17381
Funding Number(s)
CONTRACT_GRANT: NGR-22-007-172
CONTRACT_GRANT: N00014-67-A-0298-0006
Distribution Limits
Public
Copyright
Other

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