Integral input-to-state stability of unbounded bilinear control systems
arXiv:1811.08470 · doi:10.1007/s00498-021-00308-9
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.
arXiv comment17 pages, the manuscript has been thoroughly revised and streamlined. Furthermore, the main result could be significantly improved
References in corpus (8)
- Input-to-state stability of infinite-dimensional control systems
- Infinite-dimensional input-to-state stability and Orlicz spaces
- Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions
- On continuity of solutions for parabolic control systems and input-to-state stability
- ISS Property with Respect to Boundary Disturbances for a Class of Riesz-Spectral Boundary Control Systems
- Control Strategies for the Fokker-Planck Equation
- Strong input-to-state stability for infinite dimensional linear systems
- A refinement of Baillon's theorem on maximal regularity