文章基本信息

标题：Counterexamples to the Kalman Conjectures ⁎
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作者：N.V. Kuznetsov ; O.A. Kuznetsova ; D. Koznov 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：33
页码：138-143
DOI：10.1016/j.ifacol.2018.12.107
语种：English
出版社：Elsevier
摘要：AbstractIn 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 ofn> 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.
关键词：KeywordsKalman conjectureFitts systemBarabanov systempoint-mapping methodhidden attractor