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Numerical approximation for the infinite-dimensional discrete-time optimal linear-quadratic regulator problemAn abstract approximation framework is developed for the finite and infinite time horizon discrete-time linear-quadratic regulator problem for systems whose state dynamics are described by a linear semigroup of operators on an infinite dimensional Hilbert space. The schemes included the framework yield finite dimensional approximations to the linear state feedback gains which determine the optimal control law. Convergence arguments are given. Examples involving hereditary and parabolic systems and the vibration of a flexible beam are considered. Spline-based finite element schemes for these classes of problems, together with numerical results, are presented and discussed.
Document ID
19880042127
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Gibson, J. S.
(California, University Los Angeles, United States)
Rosen, I. G.
(Southern California, University Los Angeles, CA, United States)
Date Acquired
August 13, 2013
Publication Date
March 1, 1988
Publication Information
Publication: SIAM Journal on Control and Optimization
Volume: 26
ISSN: 0363-0129
Subject Category
Numerical Analysis
Accession Number
88A29354
Funding Number(s)
CONTRACT_GRANT: NAS1-17070
CONTRACT_GRANT: AF-AFOSR-84-0393
CONTRACT_GRANT: AF-AFOSR-84-0309
CONTRACT_GRANT: NAS1-18107
Distribution Limits
Public
Copyright
Other

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