Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space: Generalized Form of Liu-michel's Criterion
| dc.contributor.author | Singh, Vimal | |
| dc.date.accessioned | 2024-07-05T15:15:57Z | |
| dc.date.available | 2024-07-05T15:15:57Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | A novel criterion for the global asymptotic stability of discrete-time systems in a state-space realization using saturation arithmetic was previously given by Liu and Michel. In their approach, as in most (or probably all) existing approaches, the matrix P is assumed to be symmetric. In this communique, it is shown that their approach is such as to be extended to allow the use of an unsymmetric matrix P. Taking note of this, a more general form of their criterion is presented. A modified form of the criterion is also presented. Examples show the effectiveness of the generalized approach. To the best of author's knowledge, this communique is the first report of exploiting an unsymmetric P to obtain a stability condition with reduced conservatism. (C) 2011 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.automatica.2011.01.041 | |
| dc.identifier.issn | 0005-1098 | |
| dc.identifier.issn | 1873-2836 | |
| dc.identifier.scopus | 2-s2.0-79952484957 | |
| dc.identifier.uri | https://doi.org/10.1016/j.automatica.2011.01.041 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1562 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Automatica | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Asymptotic stability | en_US |
| dc.subject | Discrete-time systems | en_US |
| dc.subject | Lyapunov method | en_US |
| dc.subject | Nonlinear Systems | en_US |
| dc.subject | Saturation arithmetic | en_US |
| dc.title | Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space: Generalized Form of Liu-michel's Criterion | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Singh, Vimal (7404651584) | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Atilim Univ, Dept Elect Elect Engn, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 637 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 634 | en_US |
| gdc.description.volume | 47 | en_US |
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| gdc.oaire.keywords | Asymptotic stability in control theory | |
| gdc.oaire.keywords | asymptotic stability | |
| gdc.oaire.keywords | Discrete-time control/observation systems | |
| gdc.oaire.keywords | Lyapunov method | |
| gdc.oaire.keywords | saturation arithmetic | |
| gdc.oaire.keywords | discrete-time systems | |
| gdc.oaire.keywords | Nonlinear systems in control theory | |
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| gdc.virtual.author | Sıngh, Vımal | |
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