Integral input-to-state stability of unbounded bilinear control systems
Autor: | René Hosfeld, Birgit Jacob, Felix L. Schwenninger |
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Přispěvatelé: | Mathematical Systems Theory, Digital Society Institute |
Rok vydání: | 2022 |
Předmět: |
Control and Optimization
Admissibility Applied Mathematics Input-to-state stability Integral input-to-state stability Bilinear systems Orlicz spaces Functional Analysis (math.FA) Mathematics - Functional Analysis Optimization and Control (math.OC) Control and Systems Engineering Signal Processing FOS: Mathematics C-semigroups Mathematics - Optimization and Control |
Zdroj: | Mathematics of Control, Signals, and Systems, 34(2), 273-295. Springer |
ISSN: | 1435-568X 0932-4194 |
DOI: | 10.1007/s00498-021-00308-9 |
Popis: | We study input-to-state stability of bilinear control systems with possibly unbounded control operators. Natural sufficient conditions for integral input-to-state stability are given. The obtained results are applied to a bilinearly controlled Fokker-Planck equation. 17 pages, the manuscript has been thoroughly revised and streamlined. Furthermore, the main result could be significantly improved |
Databáze: | OpenAIRE |
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