Counterexamples to the Kalman Conjectures

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

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.

Язык оригиналаанглийский
Страницы (с-по)138-143
Число страниц6
ЖурналIFAC-PapersOnLine
Том51
Номер выпуска33
DOI
СостояниеОпубликовано - 1 янв 2018

Отпечаток

System stability
Nonlinear systems

Предметные области Scopus

  • Системотехника

Цитировать

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Counterexamples to the Kalman Conjectures. / Kuznetsov, N. V.; Kuznetsova, O. A.; Koznov, D.; Mokaev, R. N.; Andrievsky, B.

В: IFAC-PapersOnLine, Том 51, № 33, 01.01.2018, стр. 138-143.

Результат исследований: Научные публикации в периодических изданияхстатья

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AU - Koznov, D.

AU - Mokaev, R. N.

AU - Andrievsky, B.

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