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Conference Paper: Stability and the Lyapunov equation for n-dimensional digital systems
Title | Stability and the Lyapunov equation for n-dimensional digital systems |
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Authors | |
Issue Date | 1995 |
Citation | Proceedings - Ieee International Symposium On Circuits And Systems, 1995, v. 2, p. 781-784 How to Cite? |
Abstract | The discrete-time bounded-real lemma is further developed for nonminimal digital systems. Based on this lemma, rigorous necessary and sufficient conditions for the existence of positive definite solutions to the Lyapunov equation for n-dimensional (n-D) digital systems are proposed. These new conditions are improvements and extensions of earlier conditions and can be applied to n-D digital systems with characteristic polynomials involving 1-D factor polynomials. Further, the results in this paper show that the positive definite solutions to the n-D Lyapunov equation of a n-D system with characteristic polynomial involving 1-D factors can be obtained from the solutions of a k-D (o ≤ k ≤ n) subsystem and m (1 ≤ m ≤ n) 1-D subsystems. This could significantly simplify the complexity of solving the n-D Lyapunov equation for such cases. |
Persistent Identifier | http://hdl.handle.net/10722/169777 |
ISSN | 2023 SCImago Journal Rankings: 0.307 |
DC Field | Value | Language |
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dc.contributor.author | Xiao, Chengshan | en_US |
dc.contributor.author | Hill, David J | en_US |
dc.contributor.author | Agathoklis, P | en_US |
dc.date.accessioned | 2012-10-25T04:55:34Z | - |
dc.date.available | 2012-10-25T04:55:34Z | - |
dc.date.issued | 1995 | en_US |
dc.identifier.citation | Proceedings - Ieee International Symposium On Circuits And Systems, 1995, v. 2, p. 781-784 | en_US |
dc.identifier.issn | 0271-4310 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169777 | - |
dc.description.abstract | The discrete-time bounded-real lemma is further developed for nonminimal digital systems. Based on this lemma, rigorous necessary and sufficient conditions for the existence of positive definite solutions to the Lyapunov equation for n-dimensional (n-D) digital systems are proposed. These new conditions are improvements and extensions of earlier conditions and can be applied to n-D digital systems with characteristic polynomials involving 1-D factor polynomials. Further, the results in this paper show that the positive definite solutions to the n-D Lyapunov equation of a n-D system with characteristic polynomial involving 1-D factors can be obtained from the solutions of a k-D (o ≤ k ≤ n) subsystem and m (1 ≤ m ≤ n) 1-D subsystems. This could significantly simplify the complexity of solving the n-D Lyapunov equation for such cases. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | Proceedings - IEEE International Symposium on Circuits and Systems | en_US |
dc.title | Stability and the Lyapunov equation for n-dimensional digital systems | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Hill, David J: | en_US |
dc.identifier.authority | Hill, David J=rp01669 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-0029204173 | en_US |
dc.identifier.volume | 2 | en_US |
dc.identifier.spage | 781 | en_US |
dc.identifier.epage | 784 | en_US |
dc.identifier.scopusauthorid | Xiao, Chengshan=7202240414 | en_US |
dc.identifier.scopusauthorid | Hill, David J=35398599500 | en_US |
dc.identifier.scopusauthorid | Agathoklis, P=7005622057 | en_US |
dc.identifier.issnl | 0271-4310 | - |