paper

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.

17 pages, the manuscript has been thoroughly revised and streamlined. Furthermore, the main result could be significantly improved

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