Well-posedness of infinite-dimensional linear systems with nonlinear feedback

DOI10.1016/j.sysconle.2019.04.002zbMath1425.93106OpenAlexW2944489930MaRDI QIDQ2327379

Federico Califano, Anthony Hastir, Hans J. Zwart

Publication date: 14 October 2019

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/wellposedness-of-infinitedimensional-linear-systems-with-nonlinear-feedback(2e6a67b3-520f-4e3c-be78-a2d2cfdefb6e).html

zbMATH Keywords

well-posednessboundary feedbacknonlinear dampingnonlinear feedbackvibrating stringport-Hamiltonian systemspassive infinite-dimensional systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Linear systems in control theory (93C05)

Related Items (7)

Design of saturated boundary control for hyperbolic systems with in-domain disturbances ⋮ A class of incrementally scattering-passive nonlinear systems ⋮ Second Order Systems on Hilbert Spaces with Nonlinear Damping ⋮ Funnel control for a class of nonlinear infinite-dimensional systems ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ On the stabilization of a flexible structure via a nonlinear delayed boundary control ⋮ Well-posedness and stability of non-autonomous semilinear input-output systems

Cites Work

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• Linear port-Hamiltonian systems on infinite-dimensional spaces.
• Well-posed systems -- the LTI case and beyond
• Note on Nonlinear Contraction Semigroups

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