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Self-Excited Dynamics of Discrete-Time Lur'e Models with Affinely Constrained, Piecewise-C1 Feedback Nonlinearities
- Publication Year :
- 2023
-
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.<br />Comment: 12 pages, 12 figures, under review
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2307.03851
- Document Type :
- Working Paper