Integral input-to-state stability of unbounded bilinear control systems

René Hosfeld*, Birgit Jacob, Felix L. Schwenninger

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
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We study integral input-to-state stability of bilinear systems with unbounded control operators and derive natural sufficient conditions. The results are applied to a bilinearly controlled Fokker–Planck equation.

Original languageEnglish
Pages (from-to)273-295
Number of pages23
JournalMathematics of Control, Signals, and Systems
Issue number2
Publication statusPublished - 7 Feb 2022


  • Admissibility
  • Bilinear systems
  • C-semigroups
  • Input-to-state stability
  • Integral input-to-state stability
  • Orlicz spaces

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