CUED Publications database

Analysis of Lur'e dominant systems in the frequency domain

Miranda-Villatoro, FA and Forni, F and Sepulchre, R (2018) Analysis of Lur'e dominant systems in the frequency domain. Automatica, 98. pp. 76-85. ISSN 0005-1098 (Unpublished)

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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.

Item Type: Article
Uncontrolled Keywords: cs.SY cs.SY math.DS math.OC 37N35, 70K42, 34D05, 37C75,
Divisions: Div F > Control
Depositing User: Unnamed user with email
Date Deposited: 11 Oct 2017 20:11
Last Modified: 09 Sep 2021 02:15