Title:
Control of Slowly-Varying Linear Systems

dc.contributor.author Kamen, Edward W.
dc.contributor.author Khargonekar, Pramod P.
dc.contributor.author Tannenbaum, Allen R.
dc.contributor.corporatename University of Pittsburgh. Dept. of Electrical Engineering
dc.contributor.corporatename University of Minnesota. Dept. of Electrical Engineering
dc.contributor.corporatename University of Michigan. Dept. of Electrical Engineering and Computer Science
dc.date.accessioned 2010-05-24T19:16:33Z
dc.date.available 2010-05-24T19:16:33Z
dc.date.issued 1989-12
dc.description ©1989 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. en_US
dc.description DOI: 10.1109/9.40776
dc.description.abstract State feedback control of slowly varying linear continuous-time and discrete-time systems with bounded coefficient matrices is studied in terms of the frozen-time approach. This study centers on pointwise stabilizable systems. These are systems for which there exists a state feedback gain matrix placing the frozen-time closed-loop eigenvalues to the left of a line Re s=-γ<0 in the complex plane (or within a disk of radius ρ<1 in the discrete-time case). It is shown that if the entries of a pointwise stabilizing feedback gain matrix ar continuously differentiable functions of the entries of the system coefficient matrices, then the closed-loop system is uniformly asymptotically stable if the rate of time variation of the system coefficient matrices is sufficiently small. It is also shown that for pointwise stabilizable systems with a sufficiently slow rate of time variation in the system coefficients, a stabilizing feedback gain matrix can be computed from the positive definite solution of a frozen-time algebraic Riccati equation. en_US
dc.identifier.citation E. W. Kamen, P. P. Khargonekar, and A. Tannenbaum, "Control of Slowly-Varying Linear Systems" IEEE Transactions on Automatic Control, Vol. 34, No. 12, 1283-1285 en_US
dc.identifier.issn 0018-9286
dc.identifier.uri http://hdl.handle.net/1853/33138
dc.language.iso en_US en_US
dc.publisher Georgia Institute of Technology en_US
dc.publisher.original Institute of Electrical and Electronics Engineers
dc.subject Closed loop systems en_US
dc.subject Discrete time systems en_US
dc.subject Eigenvalues and eigenfunctions en_US
dc.subject Feedback en_US
dc.subject Linear systems en_US
dc.subject Matrix algebra en_US
dc.subject Stability en_US
dc.subject Time-varying systems en_US
dc.title Control of Slowly-Varying Linear Systems en_US
dc.type Text
dc.type.genre Article
dspace.entity.type Publication
local.contributor.corporatename Wallace H. Coulter Department of Biomedical Engineering
relation.isOrgUnitOfPublication da59be3c-3d0a-41da-91b9-ebe2ecc83b66
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