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Article: Stability results for decomposable multidimensional digital systems based on the Lyapunov equation
Title | Stability results for decomposable multidimensional digital systems based on the Lyapunov equation |
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Authors | |
Keywords | Asymptotic Stability Finite Wordlength Effect Limit Cycles Multidimensional Systems Overflow Oscillations Stability Margins |
Issue Date | 1996 |
Publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082 |
Citation | Multidimensional Systems And Signal Processing, 1996, v. 7 n. 2, p. 195-209 How to Cite? |
Abstract | Lower bounds for the stability margins of 2-D digital systems are extended to n-D systems. These bounds are then improved for n-D (including 2-D) systems which have characteristic polynomials with 1-D factor polynomials. Stability analysts of n-D systems due to finite wordlength is considered, some tight lower bounds on coefficient wordlength which guarantee the n-D system to be stable and/or globally asymptotically stable are presented. Improved and/or extended criteria for absence of overflow oscillations and global asymptotic stability of n-D systems are proposed as well. An example is presented to illustrate the theoretical results, and it is shown that the lower bound on coefficient wordlength could be considerably improved for the (partial) factorable denominator n-D digital systems. All the discussions are based on the n-D Lyapunov equation. © 1996 Kluwer Academic Publishers. |
Persistent Identifier | http://hdl.handle.net/10722/169646 |
ISSN | 2023 Impact Factor: 1.7 2023 SCImago Journal Rankings: 0.499 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Xiao, C | en_US |
dc.contributor.author | Hill, DJ | en_US |
dc.date.accessioned | 2012-10-25T04:54:00Z | - |
dc.date.available | 2012-10-25T04:54:00Z | - |
dc.date.issued | 1996 | en_US |
dc.identifier.citation | Multidimensional Systems And Signal Processing, 1996, v. 7 n. 2, p. 195-209 | en_US |
dc.identifier.issn | 0923-6082 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169646 | - |
dc.description.abstract | Lower bounds for the stability margins of 2-D digital systems are extended to n-D systems. These bounds are then improved for n-D (including 2-D) systems which have characteristic polynomials with 1-D factor polynomials. Stability analysts of n-D systems due to finite wordlength is considered, some tight lower bounds on coefficient wordlength which guarantee the n-D system to be stable and/or globally asymptotically stable are presented. Improved and/or extended criteria for absence of overflow oscillations and global asymptotic stability of n-D systems are proposed as well. An example is presented to illustrate the theoretical results, and it is shown that the lower bound on coefficient wordlength could be considerably improved for the (partial) factorable denominator n-D digital systems. All the discussions are based on the n-D Lyapunov equation. © 1996 Kluwer Academic Publishers. | en_US |
dc.language | eng | en_US |
dc.publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082 | en_US |
dc.relation.ispartof | Multidimensional Systems and Signal Processing | en_US |
dc.subject | Asymptotic Stability | en_US |
dc.subject | Finite Wordlength Effect | en_US |
dc.subject | Limit Cycles | en_US |
dc.subject | Multidimensional Systems | en_US |
dc.subject | Overflow Oscillations | en_US |
dc.subject | Stability Margins | en_US |
dc.title | Stability results for decomposable multidimensional digital systems based on the Lyapunov equation | 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.scopus | eid_2-s2.0-0030129773 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0030129773&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 7 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 195 | en_US |
dc.identifier.epage | 209 | en_US |
dc.identifier.isi | WOS:A1996UF77900006 | - |
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.issnl | 0923-6082 | - |