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Works cited by this work

15 works

Work: An Explicit–Implicit Upwind Difference Splitting Scheme in Directions for a Mixed Boundary Control Problem for a Two-Dimensional Symmetric t-Hyperbolic System

  1. Stability and Boundary Stabilization of 1-D Hyperbolic Systems

    Georges Bastin, Jean‐Michel Coron

    Book201617 citations
    ABI

  2. On Lyapunov stability of linearised Saint-Venant equations for a sloping channel

    Georges Bastin, Jean‐Michel Coron, Brigitte d’Andréa-Novel +1

    Article200911 citations
    ABI

  3. Numerical discretization of boundary control problems for systems of balance laws: Feedback stabilization

    Simone Göttlich, Peter Schillen

    Article20178 citations
    ABI

  4. A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope

    Amaury Hayat, Peipei Shang

    Article20188 citations
    ABI

  5. A quadratic Lyapunov function for hyperbolic density–velocity systems with nonuniform steady states

    Georges Bastin, Jean‐Michel Coron

    Article20177 citations
    ABI

  6. Development of an algorithm for calculating stable solutions of the Saint-Venant equation using an upwind implicit difference scheme

    Rakhmatillo Aloev, Abdumauvlen Berdyshev, Aziza Akbarova +1

    ArticleStability and Controllability of Differential EquationsEastern-European Journal of Enterprise Technologies20215 citations
    ABI

  7. Dissipative Boundary Conditions for One-Dimensional Quasi-linear Hyperbolic Systems: Lyapunov Stability for the $C^1$-Norm

    Jean‐Michel Coron, Georges Bastin

    Article20154 citations
    ABI

  8. Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation

    Jean‐Michel Coron, Long Hu, Guillaume Olive

    Article20174 citations
    ABI

  9. Implicit Upwind Difference Scheme for a Symmetric $$\boldsymbol{t}$$-Hyperbolic System with Variable Coefficients and Lowest Terms

    Rakhmatillo Aloev, M. U. Khudoyberganov

    ArticleStability and Controllability of Differential EquationsLobachevskii Journal of Mathematics20234 citations
    ABI

  10. Stability Analysis of an Upwind Difference Splitting Scheme for Two-Dimensional Saint–Venant Equations

    Abdumauvlen Berdyshev, Rakhmatillo Aloev, Dana Bliyeva +2

    ArticleDifferential Equations and Numerical MethodsSymmetry20223 citations
    ABI

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    Other3 citations
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    Other1 citations
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    Other1 citations
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    Other1 citations
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