Finite/Fixed-Time Homogeneous Stabilization of Infinite Dimensional Systems

• 成果类型: Article
• 署名作者: Polyakov, Andrey; Orlov, Yury
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Universite de Lille; Inria
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3490989
• 发表日期: 2025
• 页码: 2560-2567
• 关键词: mathematical models; Generators; vectors; control design; Closed loop systems; Robustness; Hilbert space; asymptotic stability; Logic gates; Heating systems; nonlinear control systems; Partial differential equations; uncertainty

摘要

Finite/fixed-time control design procedure is developed for an infinite dimensional system modeled by abstract evolution equation in a Hilbert space. It is based on solving certain operator equations and inequalities. For a class of partial differential equation (PDE) models, the corresponding equations/inequalities are shown to be algebraic and solvable in many cases. Theoretical results are supported by examples of controlled PDE models.