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

DOI10.1007/s00498-021-00308-9zbMath1494.93096arXiv1811.08470OpenAlexW3142080596MaRDI QIDQ2153490

Birgit Jacob, René Hosfeld, Felix L. Schwenninger

Publication date: 5 July 2022

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08470

zbMATH Keywords

Orlicz spacesbilinear systemsinput-to-state stability\(C_0\)-semigroupsadmissibilityintegral input-to-state stability

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) One-parameter semigroups and linear evolution equations (47D06) Fokker-Planck equations (35Q84)

Related Items (6)

Asymptotic gain results for attractors of semilinear systems ⋮ Improving the Convergence Rates for the Kinetic Fokker–Planck Equation by Optimal Control ⋮ Characterization of Integral Input-to-State Stability for Nonlinear Time-Varying Systems of Infinite Dimension ⋮ Robustness of global attractors: abstract framework and application to dissipative wave equations ⋮ Weak input-to-state stability: characterizations and counterexamples ⋮ Semi-uniform input-to-state stability of infinite-dimensional systems

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