Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain

From MaRDI portal
Publication:3060050

DOI10.1051/cocv/2009036zbMath1202.93064OpenAlexW2103673400MaRDI QIDQ3060050

Javier Andres Villegas, Yann Le Gorrec, Bernhard Maschke, Hans J. Zwart

Publication date: 30 November 2010

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/245011




Related Items

Distributed and backstepping boundary controls for port-Hamiltonian systems with symmetriesExponential stability for infinite-dimensional non-autonomous port-Hamiltonian systemsA Structural Observation on Port-Hamiltonian SystemsFlows on metric graphs with general boundary conditionsTelegraph systems on networks and port-Hamiltonians. II: Network realizabilityGenerator property and stability for generalized difference operatorsInput-output \(L^2\)-well-posedness, regularity and Lyapunov stability of string equations on networksTelegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posednessScalable Reduction of Elastic Continuum for Boundary Energy ControlStabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary controlRobust Controllers for Regular Linear Systems with Infinite-Dimensional ExosystemsPort Hamiltonian formulation of a system of two conservation laws with a moving interfaceCoupling between hyperbolic and diffusive systems: a port-Hamiltonian formulationWell-posedness of systems of 1-D hyperbolic partial differential equationsAn operator theoretic approach to infinite‐dimensional control systemsDissipative extensions and port-Hamiltonian operators on networksWell-posedness and stability of a class of linear systemsOn Polynomial Stability of Coupled Partial Differential Equations in 1DStability and passivity preserving Petrov-Galerkin approximation of linear infinite-dimensional systemsWell-posed systems -- the LTI case and beyondStability and stabilization of infinite-dimensional linear port-Hamiltonian systemsZero dynamics for networks of wavesFeedback theory extended for proving generation of contraction semigroupsDynamical canonical systems and their explicit solutionsWell-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domainWell-posedness of a class of hyperbolic partial differential equations on the semi-axisBoundary control of partial differential equations using frequency domain optimization techniquesStability and Robust Regulation of Passive Linear SystemsWell-posedness of infinite-dimensional non-autonomous passive boundary control systemsBoundary stabilization of first-order hyperbolic equations with input delayLinear hyperbolic systems on networks: well-posedness and qualitative propertiesTelegraph systems on networks and port-Hamiltonians. III: Explicit representation and long-term behaviourOptimal decay for a wave-heat system with Coleman-Gurtin thermal lawRiesz Bases of Port-Hamiltonian SystemsA general transfer function representation for a class of hyperbolic distributed parameter systems\(C_{0}\)-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain



Cites Work