Counterexamples to the Kalman Conjectures
| dc.contributor.author | Kuznetsov, Nikolay | |
| dc.contributor.author | Kuznetsova, O. A. | |
| dc.contributor.author | Koznov, D. V. | |
| dc.contributor.author | Mokaev, R. N. | |
| dc.contributor.author | Andrievsky, B. | |
| dc.contributor.editor | Lefeber, Erjen | |
| dc.date.accessioned | 2019-01-04T10:24:02Z | |
| dc.date.available | 2019-01-04T10:24:02Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Kuznetsov, N., Kuznetsova, O. A., Koznov, D. V., Mokaev, R. N., & Andrievsky, B. (2018). Counterexamples to the Kalman Conjectures. In E. Lefeber (Ed.), <i>CHAOS 2018 : 5th IFAC Conference on Analysis and Control of Chaotic Systems, Eindhoven, The Netherlands, 30 October – 1 November 2018</i> (pp. 138-143). IFAC; Elsevier Ltd.. IFAC-PapersOnLine, 51. <a href="https://doi.org/10.1016/j.ifacol.2018.12.107" target="_blank">https://doi.org/10.1016/j.ifacol.2018.12.107</a> | |
| dc.identifier.other | CONVID_28822747 | |
| dc.identifier.other | TUTKAID_80103 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/60905 | |
| dc.description.abstract | In the paper counterexamples to the Kalman conjecture with smooth nonlinearity basing on the Fitts system, that are periodic solution or hidden chaotic attractor are presented. It is shown, that despite the fact that Kalman’s conjecture (as well as Aizerman’s) turned out to be incorrect in the case of n > 3, it had a huge impact on the theory of absolute stability, namely, the selection of the class of nonlinear systems whose stability can be studied with linear methods. | fi |
| dc.format.extent | 246 | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | IFAC; Elsevier Ltd. | |
| dc.relation.ispartof | CHAOS 2018 : 5th IFAC Conference on Analysis and Control of Chaotic Systems, Eindhoven, The Netherlands, 30 October – 1 November 2018 | |
| dc.relation.ispartofseries | IFAC-PapersOnLine | |
| dc.rights | In Copyright | |
| dc.subject.other | Kalman conjecture | |
| dc.subject.other | Fitts system | |
| dc.subject.other | Barabanov system | |
| dc.subject.other | point-mapping | |
| dc.subject.other | method | |
| dc.subject.other | hidden attractor | |
| dc.title | Counterexamples to the Kalman Conjectures | |
| dc.type | conferenceObject | |
| dc.identifier.urn | URN:NBN:fi:jyu-201901021008 | |
| dc.contributor.laitos | Informaatioteknologian tiedekunta | fi |
| dc.contributor.laitos | Faculty of Information Technology | en |
| dc.contributor.oppiaine | Tietotekniikka | fi |
| dc.contributor.oppiaine | Mathematical Information Technology | en |
| dc.type.uri | http://purl.org/eprint/type/ConferencePaper | |
| dc.date.updated | 2019-01-02T10:15:13Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_5794 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 138-143 | |
| dc.relation.issn | 2405-8963 | |
| dc.relation.numberinseries | 33 | |
| dc.relation.numberinseries | 51 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2018, IFAC. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.conference | IFAC Conference on Analysis and Control of Chaotic Systems | |
| dc.subject.yso | säätöteoria | |
| dc.subject.yso | kaaosteoria | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p868 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p6339 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1016/j.ifacol.2018.12.107 | |
| dc.type.okm | A4 |
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