Self-Excited Dynamics of Discrete-Time Lur'e Systems
Systems and Control
2021-09-28 v1 Systems and Control
Abstract
Self-excited systems arise in numerous applications, such as biochemical systems, fluid-structure interaction, and combustion. This paper analyzes a discrete-time Lur'e system with a piecewise-linear saturation feedback nonlinearity. The main result provides sufficient conditions under which the Lur'e system is self-excited in the sense that its response is bounded and nonconvergent.
Cite
@article{arxiv.2109.12732,
title = {Self-Excited Dynamics of Discrete-Time Lur'e Systems},
author = {Juan A. Paredes and Syed Aseem Ul Islam and Omran Kouba and Dennis S. Bernstein},
journal= {arXiv preprint arXiv:2109.12732},
year = {2021}
}
Comments
Submitted to Systems & Control Letters, 12 pages, 7 figures