On the Exactness of a Stability Test for Discrete-Time Lur'e Systems With Slope-Restricted Nonlinearities

• 成果类型: Article
• 署名作者: Kharitenko, Andrey; Scherer, Carsten W.
• 署名单位: University of Stuttgart; Eindhoven University of Technology; University of Stuttgart
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3362859
• 发表日期: 2024
• 页码: 4851-4858
• 关键词: Stability criteria; robust stability; STANDARDS; Machine-to-machine communications; Linear systems; uncertainty; Transfer functions; Absolute stability; integral quadratic constraints; O'Shea-Zames-Falb (OZF) multipliers; slope-restricted nonlinearities

摘要

In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames, and P. Falb is necessary and sufficient if the set of Lur'e interconnections is lifted to a Kronecker structure. An explicit method to construct the destabilizing static nonlinearity is presented.