Analysis of Lur'e dominant systems in the frequency domain. (December 2018)

• Record Type: Journal Article
• Authors: Miranda-Villatoro, Félix A.; Forni, Fulvio; Sepulchre, Rodolphe J.
• Is Part Of: Automatica. Volume 98(2018)
• Page Start: 76
• Page End: 85
• Publication Date: 2018-12
• Subjects: Lur'e systems -- Dissipativity -- Circle criterion -- Multistability -- Limit cycles; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.09.007
• Languages: English
• ISSNs: 0005-1098

Abstract

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.