Existence and Completeness of Solutions to Extended Projected Dynamical Systems and Sector-bounded Projection-based Controllers
Optimization and Control
2023-03-17 v1 Dynamical Systems
Abstract
Projection-based control (PBC) systems have significant engineering impact and receive considerable scientific attention. To properly describe closed-loop PBC systems, extensions of classical projected dynamical systems are needed, because partial projection operators and irregular constraint sets (sectors) are crucial in PBC. These two features obstruct the application of existing results on existence and completeness of solutions. To establish a rigorous foundation for the analysis and design of PBC, we provide essential existence and completeness properties for this new class of discontinuous systems.
Cite
@article{arxiv.2303.09362,
title = {Existence and Completeness of Solutions to Extended Projected Dynamical Systems and Sector-bounded Projection-based Controllers},
author = {Maurice Heemels and Aneel Tanwani},
journal= {arXiv preprint arXiv:2303.09362},
year = {2023}
}
Comments
Submitted for publication