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- Publisher Website: 10.1016/0024-3795(92)90011-X
- Scopus: eid_2-s2.0-0007414990
- WOS: WOS:A1992HA04300011
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Article: Linear operators preserving certain equivalence relations originating in system theory
Title | Linear operators preserving certain equivalence relations originating in system theory |
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Authors | |
Issue Date | 1992 |
Publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa |
Citation | Linear Algebra And Its Applications, 1992, v. 161 C, p. 165-225 How to Cite? |
Abstract | Let F be C or R. A finite-dimensional linear time-invariant system is described in state-space form by [xdot] = Ax + Bu, y = Cx + Du, and is identified with the matrix 4-tuple (A,B,C,D), where x ε{lunate} Fn, u ε{lunate} Fm, yε{lunate} Fp, and A,B,C,D, are matrices of appropriate sizes and with entries in F. For fixed n,m,p, let M be the linear space of all systems (A,B,C,D). Equivalence relations ∼ can be defined on M based on the possibility of changes of basis inthe state space, the input space, or the output space, and the possibility of state feedback and/or output feedback. We characterize those nonsingular linear operators φ on M that satisfy φ(X) ∼ φ(Y) whenever X ∼ Y. © 1992. |
Persistent Identifier | http://hdl.handle.net/10722/156045 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.837 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, CK | en_US |
dc.contributor.author | Rodman, L | en_US |
dc.contributor.author | Tsing, NK | en_US |
dc.date.accessioned | 2012-08-08T08:40:11Z | - |
dc.date.available | 2012-08-08T08:40:11Z | - |
dc.date.issued | 1992 | en_US |
dc.identifier.citation | Linear Algebra And Its Applications, 1992, v. 161 C, p. 165-225 | en_US |
dc.identifier.issn | 0024-3795 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156045 | - |
dc.description.abstract | Let F be C or R. A finite-dimensional linear time-invariant system is described in state-space form by [xdot] = Ax + Bu, y = Cx + Du, and is identified with the matrix 4-tuple (A,B,C,D), where x ε{lunate} Fn, u ε{lunate} Fm, yε{lunate} Fp, and A,B,C,D, are matrices of appropriate sizes and with entries in F. For fixed n,m,p, let M be the linear space of all systems (A,B,C,D). Equivalence relations ∼ can be defined on M based on the possibility of changes of basis inthe state space, the input space, or the output space, and the possibility of state feedback and/or output feedback. We characterize those nonsingular linear operators φ on M that satisfy φ(X) ∼ φ(Y) whenever X ∼ Y. © 1992. | en_US |
dc.language | eng | en_US |
dc.publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa | en_US |
dc.relation.ispartof | Linear Algebra and Its Applications | en_US |
dc.title | Linear operators preserving certain equivalence relations originating in system theory | en_US |
dc.type | Article | en_US |
dc.identifier.email | Tsing, NK:nktsing@hku.hk | en_US |
dc.identifier.authority | Tsing, NK=rp00794 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/0024-3795(92)90011-X | - |
dc.identifier.scopus | eid_2-s2.0-0007414990 | en_US |
dc.identifier.volume | 161 | en_US |
dc.identifier.issue | C | en_US |
dc.identifier.spage | 165 | en_US |
dc.identifier.epage | 225 | en_US |
dc.identifier.isi | WOS:A1992HA04300011 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Li, CK=8048590800 | en_US |
dc.identifier.scopusauthorid | Rodman, L=7006626172 | en_US |
dc.identifier.scopusauthorid | Tsing, NK=6602663351 | en_US |
dc.identifier.issnl | 0024-3795 | - |