An operator theoretic approach to infinite‐dimensional control systems

DOI10.1002/gamm.201800010OpenAlexW2896541996WikidataQ129089872 ScholiaQ129089872MaRDI QIDQ6067113

Birgit Jacob, Hans J. Zwart

Publication date: 14 December 2023

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/780753a0-0ed7-4ac5-82bc-13094ee5a0b0

zbMATH Keywords

stabilitystabilizabilitypartial differential equation\(C_0\)-semigroupinfinite-dimensional systems theoryport-Hamiltonian system

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Quantum theory (81-XX)

Related Items (1)

A port-Hamiltonian formulation of coupled heat transfer

Cites Work

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• Linear port-Hamiltonian systems on infinite-dimensional spaces.
• Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
• Control by interconnection and energy-shaping methods of port Hamiltonian models. Application to the shallow water equations
• Interconnection of port-Hamiltonian systems and composition of Dirac structures
• Dirac structures and their composition on Hilbert spaces
• Semigroups of linear operators and applications to partial differential equations
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems
• Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control
• Lagrangian and Hamiltonian formulation of transmission line systems with boundary energy flow
• \(C_{0}\)-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
• An extension of Hamiltonian systems to the thermodynamic phase space: towards a geometry of nonreversible processes
• Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
• Port-based modelling of mass transport phenomena
• One-Parameter Semigroups for Linear Evolution Equations
• Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
• Smooth stabilization implies coprime factorization
• Exponential Stability of a Class of Boundary Control Systems
• Control by interconnection of mixed port Hamiltonian systems

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