Reduction Principles and the Stabilization of Closed Sets for Passive Systems
Optimization and Control
2019-04-16 v2 Dynamical Systems
Abstract
In this paper we explore the stabilization of closed invariant sets for passive systems, and present conditions under which a passivity-based feedback asymptotically stabilizes the goal set. Our results rely on novel reduction principles allowing one to extrapolate the properties of stability, attractivity, and asymptotic stability of a dynamical system from analogous properties of the system on an invariant subset of the state space.
Cite
@article{arxiv.0907.0686,
title = {Reduction Principles and the Stabilization of Closed Sets for Passive Systems},
author = {Mohamed I. El-Hawwary and Manfredi Maggiore},
journal= {arXiv preprint arXiv:0907.0686},
year = {2019}
}