1. Integral input-to-state stability of unbounded bilinear control systems
- Author
-
René Hosfeld, Birgit Jacob, Felix L. Schwenninger, Mathematical Systems Theory, and Digital Society Institute
- Subjects
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 - Abstract
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
- Published
- 2022