Work

Optimal control of infinite-dimensional dissipative systems

Year: 2026

Type: preprint

Abstract: We study the linear-quadratic optimal control problem for infinite-dimensional dissipative systems with possibly indefinite cost functional. Under the assumption that a storage function exists, we show that this indefinite optimal control problem is equivalent to a linear-quadratic optimal control problem with a nonnegative cost functional. We establish the relationship between the corresponding value functions and present the associated operator Lur'e equation. Finally, we illustrate our results with several examples.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.24507

Authors: Hastir, Anthony, Reis, Timo

Institutions: Technische Universität Ilmenau, University of Namur, Namur Institute for Complex Systems

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7140722391

Cites:

Cited by:

Related to: