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

René Hosfeld; Birgit Jacob; Felix L. Schwenninger

doi:10.1007/s00498-021-00308-9

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 journal › Article › Academic › peer-review

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Abstract

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 language	English
Pages (from-to)	273-295
Number of pages	23
Journal	Mathematics of Control, Signals, and Systems
Volume	34
Issue number	2
DOIs	https://doi.org/10.1007/s00498-021-00308-9
Publication status	Published - 7 Feb 2022

Keywords

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

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10.1007/s00498-021-00308-9Licence: CC BY

s00498-021-00308-9Final published version, 379 KBLicence: CC BY

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title = "Integral input-to-state stability of unbounded bilinear control systems",

abstract = "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.",

keywords = "Admissibility, Bilinear systems, C-semigroups, Input-to-state stability, Integral input-to-state stability, Orlicz spaces",

author = "Ren{\'e} Hosfeld and Birgit Jacob and Schwenninger, {Felix L.}",

note = "Funding Information: This work has been supported by the German Research Foundation (DFG) via the joint grant JA 735/18-1 / SCHW 2022/2-1. Publisher Copyright: {\textcopyright} 2022, The Author(s).",

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AU - Jacob, Birgit

AU - Schwenninger, Felix L.

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N2 - 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.

AB - 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.

KW - Admissibility

KW - Bilinear systems

KW - C-semigroups

KW - Input-to-state stability

KW - Integral input-to-state stability

KW - Orlicz spaces

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

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