Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
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Publication:478953
DOI10.3934/eect.2014.3.207zbMath1302.93173arXiv1312.4307OpenAlexW2326958517MaRDI QIDQ478953
Publication date: 5 December 2014
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.4307
stabilizationexponential stabilityhybrid systemsasymptotic stability\(C_0\)-semigroupfrequency domain methodinfinite-dimensional linear port-Hamiltonian systems
Stabilization of systems by feedback (93D15) One-parameter semigroups and linear evolution equations (47D06) Asymptotic stability in control theory (93D20) Higher-order hyperbolic equations (35L25)
Related Items (19)
Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian systems ⋮ Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control ⋮ Well-posedness of systems of 1-D hyperbolic partial differential equations ⋮ An operator theoretic approach to infinite‐dimensional control systems ⋮ Dissipative extensions and port-Hamiltonian operators on networks ⋮ Observer-based boundary control of distributed port-Hamiltonian systems ⋮ Funnel control for boundary control systems ⋮ Port-Hamiltonian formulation and symplectic discretization of plate models. II: Kirchhoff model for thin plates ⋮ Boundary triplets for skew symmetric operators and the generation of strongly continuous semigroups ⋮ Well-posedness of a class of hyperbolic partial differential equations on the semi-axis ⋮ Well-posedness of infinite-dimensional non-autonomous passive boundary control systems ⋮ Dynamic transmission conditions for linear hyperbolic systems on networks ⋮ Well-Posedness and Stability of Infinite-Dimensional Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback ⋮ Control Design for Linear Port-Hamiltonian Boundary Control Systems: An Overview ⋮ Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus ⋮ Stabilization of port-Hamiltonian systems with discontinuous energy densities ⋮ Uniform exponential stabilisation of serially connected inhomogeneous Euler-Bernoulli beams ⋮ Riesz Bases of Port-Hamiltonian Systems ⋮ \(C_{0}\)-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
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