Analysis of Lur'e dominant systems in the frequency domain

被引：18
作者：
Miranda-Villatoro, Felix A. [1 ]
Forni, Fulvio [1 ]
Sepulchre, Rodolphe J. [1 ]
机构：
[1] Univ Cambridge, Dept Engn, Trumpington St, Cambridge CB2 1PZ, England
来源：
AUTOMATICA | 2018年 / 98卷
基金：
欧洲研究理事会;
关键词：
Lur'e systems; Dissipativity; Circle criterion; Multistability; Limit cycles; DISSIPATIVE DYNAMICAL-SYSTEMS; CONTRACTION ANALYSIS; NONLINEAR-SYSTEMS; STABILITY;
D O I：
10.1016/j.automatica.2018.09.007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：76 / 85
页数：10
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