Control and stabilization of \(2\times 2\) hyperbolic systems on graphs
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Publication:728210
DOI10.3934/mcrf.2017004zbMath1357.35212OpenAlexW2560727428MaRDI QIDQ728210
Publication date: 19 December 2016
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2017004
exact controllabilityexponential decaydissipative boundary conditionsgeneral transmission conditions
Stabilization of systems by feedback (93D15) Initial-boundary value problems for first-order hyperbolic systems (35L50)
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Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network ⋮ Existence, uniqueness and stabilization of solutions of a generalized telegraph equation on star shaped networks ⋮ Telegraph systems on networks and port-Hamiltonians. II: Network realizability ⋮ Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness ⋮ Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations ⋮ Global solutions for a chemotaxis hyperbolic-parabolic system on networks with nonhomogeneous boundary conditions ⋮ Dynamic transmission conditions for linear hyperbolic systems on networks ⋮ Linear hyperbolic systems on networks: well-posedness and qualitative properties ⋮ Telegraph systems on networks and port-Hamiltonians. III: Explicit representation and long-term behaviour
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