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Article: 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 | |
Keywords | Lyapunov Equation Multidimensional Systems Stability |
Issue Date | 1997 |
Citation | Ieee Transactions On Circuits And Systems I: Fundamental Theory And Applications, 1997, v. 44 n. 7, p. 614-621 How to Cite? |
Abstract | The discrete-time bounded-real lemma for nonminimal discrete systems is presented. Based on this lemma, rigorous necessary and sufficient conditions for the existence of positive definite solutions to the Lyapunov equation for ra-dimensional (n-D) digital systems are proposed. These new conditions can be applied to n-D digital systems with n-D characteristic polynomials involving factor polynomials of any dimension, 1-D to n-D. Further, the results in this paper show that the positive definite solutions to the n-D Lyapunov equation of an n-D system with characteristic polynomial involving 1-D factors can be obtained from the solutions of a k-D (0 < 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. ©1997 ieee. |
Persistent Identifier | http://hdl.handle.net/10722/169651 |
ISSN | |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Xiao, C | en_US |
dc.contributor.author | Hill, DJ | en_US |
dc.contributor.author | Agathoklis, P | en_US |
dc.date.accessioned | 2012-10-25T04:54:01Z | - |
dc.date.available | 2012-10-25T04:54:01Z | - |
dc.date.issued | 1997 | en_US |
dc.identifier.citation | Ieee Transactions On Circuits And Systems I: Fundamental Theory And Applications, 1997, v. 44 n. 7, p. 614-621 | en_US |
dc.identifier.issn | 1057-7122 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169651 | - |
dc.description.abstract | The discrete-time bounded-real lemma for nonminimal discrete systems is presented. Based on this lemma, rigorous necessary and sufficient conditions for the existence of positive definite solutions to the Lyapunov equation for ra-dimensional (n-D) digital systems are proposed. These new conditions can be applied to n-D digital systems with n-D characteristic polynomials involving factor polynomials of any dimension, 1-D to n-D. Further, the results in this paper show that the positive definite solutions to the n-D Lyapunov equation of an n-D system with characteristic polynomial involving 1-D factors can be obtained from the solutions of a k-D (0 < 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. ©1997 ieee. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications | en_US |
dc.subject | Lyapunov Equation | en_US |
dc.subject | Multidimensional Systems | en_US |
dc.subject | Stability | en_US |
dc.title | Stability and the lyapunov equation for n-dimensional digital systems | en_US |
dc.type | Article | en_US |
dc.identifier.email | Hill, DJ: | en_US |
dc.identifier.authority | Hill, DJ=rp01669 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/81.596942 | en_US |
dc.identifier.scopus | eid_2-s2.0-0031185543 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0031185543&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 44 | en_US |
dc.identifier.issue | 7 | en_US |
dc.identifier.spage | 614 | en_US |
dc.identifier.epage | 621 | en_US |
dc.identifier.isi | WOS:A1997XH37100005 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Xiao, C=7202240414 | en_US |
dc.identifier.scopusauthorid | Hill, DJ=35398599500 | en_US |
dc.identifier.scopusauthorid | Agathoklis, P=7005622057 | en_US |
dc.identifier.issnl | 1057-7122 | - |