6533b7dbfe1ef96bd126f8f2

RESEARCH PRODUCT

Counterexamples to the Kalman Conjectures

Nikolay KuznetsovO. A. KuznetsovaD. V. KoznovR. N. MokaevB. Andrievsky

subject

Barabanov systemsäätöteoriakaaosteoriamethodKalman conjectureFitts systempoint-mappinghidden attractor

description

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. peerReviewed

yearjournalcountryeditionlanguage
2018-01-01
http://urn.fi/URN:NBN:fi:jyu-201901021008