Counterexamples to the Kalman Conjectures
Kuznetsov, N., Kuznetsova, O. A., Koznov, D. V., Mokaev, R. N., & Andrievsky, B. (2018). Counterexamples to the Kalman Conjectures. In E. Lefeber (Ed.), CHAOS 2018 : 5th IFAC Conference on Analysis and Control of Chaotic Systems, Eindhoven, The Netherlands, 30 October – 1 November 2018 (pp. 138-143). IFAC; Elsevier Ltd.. IFAC-PapersOnLine, 51. https://doi.org/10.1016/j.ifacol.2018.12.107
Julkaistu sarjassa
IFAC-PapersOnLineToimittajat
Päivämäärä
2018Tekijänoikeudet
© 2018, IFAC.
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.
Julkaisija
IFAC; Elsevier Ltd.Konferenssi
IFAC Conference on Analysis and Control of Chaotic SystemsKuuluu julkaisuun
CHAOS 2018 : 5th IFAC Conference on Analysis and Control of Chaotic Systems, Eindhoven, The Netherlands, 30 October – 1 November 2018ISSN Hae Julkaisufoorumista
2405-8963Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/28822747
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