Analysis of Lur'e dominant systems in the frequency domain
Accepted version
Peer-reviewed
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Abstract
Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize this approach beyond equilibrium stability analysis with the aim of characterizing feedback systems whose asymptotic behavior is low dimensional. We illustrate the theory with a generalization of the circle criterion for the analysis of multistable and oscillatory Lur'e feedback systems.
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Keywords
Lur'e systems, Dissipativity, Circle criterion, Multistability, Limit cycles
Journal Title
Automatica
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Journal ISSN
0005-1098
1873-2836
1873-2836
Volume Title
98
Publisher
Elsevier BV
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Sponsorship
European Research Council (670645)
ERC Grant Agreement Switchlet n. 670645