Work

Finite/Fixed-Time Homogeneous Stabilization of Infinite Dimensional Systems

Year: 2024

Type: article

Abstract: 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.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2024.3490989

Authors: Andrey Polyakov, Yury Orlov

Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Université de Lille, Centro de Investigación Científica y de Educación Superior de Ensenada

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Sliding-mode set-valued control and observation in finite and infinite dimensions: discretization