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arXiv · 2109.12732

Self-Excited Dynamics of Discrete-Time Lur'e Systems

Juan A. Paredes·Syed Aseem Ul Islam·Omran Kouba·Dennis S. Bernstein
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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.

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Juan A. Paredes, Syed Aseem Ul Islam, Omran Kouba, Dennis S. Bernstein. 2021-09-27. Self-Excited Dynamics of Discrete-Time Lur'e Systems. https://arxiv.org/abs/2109.12732

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