Self-Excited Dynamics of Discrete-Time Lur'e Models with Affinely Constrained, Piecewise-C1 Feedback Nonlinearities
Systems and Control
2023-07-11 v1 Systems and Control
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.2307.03851,
title = {Self-Excited Dynamics of Discrete-Time Lur'e Models with Affinely Constrained, Piecewise-C1 Feedback Nonlinearities},
author = {Juan Paredes and Omran Kouba and Dennis S. Bernstein},
journal= {arXiv preprint arXiv:2307.03851},
year = {2023}
}
Comments
12 pages, 12 figures, under review