Finite-Time Stability Properties of Lur'e Systems With Piecewise Continuous Nonlinearities

• 成果类型: Article
• 署名作者: Mariano, S.; Postoyan, R.; Zaccarian, L.
• 署名单位: University of Melbourne; Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine; Universite de Toulouse; Centre National de la Recherche Scientifique (CNRS); University of Trento
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3383278
• 发表日期: 2024
• 页码: 6325-6332
• 关键词: Lyapunov methods; Nonlinear systems; statespace methods

摘要

We analyze the stability properties of Lur'e systems with piecewise continuous nonlinearities by exploiting the notion of set-valued Lie derivative for Lur'e-Postnikov Lyapunov functions. We first extend an existing result of the literature to establish the global asymptotic stability of the origin under a more general sector condition. We then present the main results of this work, namely, additional conditions under which output and state finite-time stability properties also hold for the considered class of systems. We highlight the relevance of these results by certifying the stability properties of two engineering systems of known interest: mechanical systems affected by friction and cellular neural networks.