Self-Excited Dynamics of Discrete-Time Lur'e Models with Affinely Constrained, Piecewise-C1 Feedback Nonlinearities

Autor:	Paredes, Juan, Kouba, Omran, Bernstein, Dennis S.
Rok vydání:	2023
Předmět:	Electrical Engineering and Systems Science - Systems and Control Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	Self-excited systems (SES) arise in numerous applications, such as fluid-structure interaction, combustion, and biochemical systems. In support of system identification and digital control of SES, this paper analyzes discrete-time Lur'e models with affinely constrained, piecewise-C1 feedback nonlinearities. The main result provides sufficient conditions under which a discrete-time Lur'e model is self-excited in the sense that its response is 1) bounded for all initial conditions, and 2) nonconvergent for almost all initial conditions. Comment: 12 pages, 12 figures, under review
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.03851 Zobrazit plný text záznamu View this record from Arxiv