Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments
Systems and Control
2024-06-05 v1 Systems and Control
Abstract
Input-to-state stability (ISS) unifies the stability and robustness in one notion, and serves as a basis for broad areas of nonlinear control theory. In this contribution, we covered the most fundamental facts in the infinite-dimensional ISS theory with a stress on Lyapunov methods. We consider various applications given by different classes of infinite-dimensional systems. Finally, we discuss a Lyapunov-based small-gain theorem for stability analysis of an interconnection of two ISS systems.
Cite
@article{arxiv.2406.02071,
title = {Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments},
author = {Andrii Mironchenko and Christophe Prieur},
journal= {arXiv preprint arXiv:2406.02071},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2302.00535