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

Robert Nabiullin*, Felix L. Schwenninger

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)

Abstract

This paper deals with strong versions of input-to-state stability for infinite-dimensional linear systems with an unbounded control operator. We show that strong input-to-state stability with respect to inputs in an Orlicz space is a sufficient condition for a system to be strongly integral input-to-state stable with respect to bounded inputs. In contrast to the special case of systems with exponentially stable semigroup, the converse fails in general.

Original languageEnglish
Article number4
JournalMathematics of Control, Signals, and Systems
Volume30
Issue number1
DOIs
Publication statusPublished - 1 Mar 2018
Externally publishedYes

Keywords

  • C-semigroup
  • Infinite-dimensional systems
  • Infinite-time admissibility
  • Input-to-state stability
  • Integral input-to-state stability
  • Orlicz space

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