Strong input-to-state stability for infinite dimensional linear systems

Autor:	Nabiullin, Robert, Schwenninger, Felix
Rok vydání:	2017
Předmět:	Mathematics - Functional Analysis Mathematics - Dynamical Systems Mathematics - Optimization and Control
Zdroj:	Mathematics of Control, Signals and Systems, 30(4), 2018
Druh dokumentu:	Working Paper
DOI:	10.1007/s00498-018-0210-8
Popis:	This paper deals with strong versions of input-to-state stability and integral input-to-state stability of infinite-dimensional linear systems with an unbounded input operator. We show that infinite-time admissibility with respect to inputs in an Orlicz space is a sufficient condition for a system to be strongly integral input-to-state stable but, unlike in the case of exponentially stable systems, not a necessary one. Comment: 12 pages, revised introduction, streamlined article, added references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1708.07482 Zobrazit plný text záznamu View this record from Arxiv