Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments

Autor:	Mironchenko, Andrii, Prieur, Christophe
Rok vydání:	2024
Předmět:	Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: text overlap with arXiv:2302.00535
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.02071 Zobrazit plný text záznamu View this record from Arxiv