Lmi Approach To Stability of a Class of Discrete-Time Systems Using Two's Complement Arithmetic
| dc.contributor.author | Singh, Vimal | |
| dc.date.accessioned | 2024-07-05T15:16:11Z | |
| dc.date.available | 2024-07-05T15:16:11Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | systematic and computationally tractable (i.e., linear matrix inequality based) approach to the global asymptotic stability of a class of discrete-time systems, implemented with fixed-point arithmetic, utilizing a very strong nonlinearity (which is produced by employing two's complement overflow arithmetic) is presented. Application of the approach to second-order digital filter is discussed. Two third-order examples illustrating the effectiveness of the approach are given. (C) 2010 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.amc.2010.08.023 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-77958008383 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2010.08.023 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1609 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Asymptotic stability | en_US |
| dc.subject | Discrete-time dynamical system | en_US |
| dc.subject | Digital filter | en_US |
| dc.subject | Finite word length effect | en_US |
| dc.subject | Limit cycle | en_US |
| dc.subject | Lyapunov method | en_US |
| dc.title | Lmi Approach To Stability of a Class of Discrete-Time Systems Using Two's Complement Arithmetic | en_US |
| dc.type | Article | en_US |
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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 | 2882 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 2877 | en_US |
| gdc.description.volume | 217 | en_US |
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| gdc.oaire.keywords | Asymptotic stability in control theory | |
| gdc.oaire.keywords | asymptotic stability | |
| gdc.oaire.keywords | limit cycle | |
| gdc.oaire.keywords | Discrete-time control/observation systems | |
| gdc.oaire.keywords | Lyapunov method | |
| gdc.oaire.keywords | digital filter | |
| gdc.oaire.keywords | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory | |
| gdc.oaire.keywords | discrete-time dynamical system | |
| gdc.oaire.keywords | finite word length effect | |
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