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Determination of generalized exact boundary synchronization matrix for a coupled system of wave equations

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Abstract

for a coupled system of wave equations with Dirichlet boundary controls, this paper deals with the possible choice of its generalized synchronization matrices so that the admissible generalized exact boundary synchronizations for this system are obtained.

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References

  1. Gohberg I, Lancaster P, Rodman L. Invariant Subspaces of Matrices with Applications. New York: John Wiley & Sons, Inc, 1986

    MATH  Google Scholar 

  2. Li T T, Rao B P. Synchronisation exacte d’un système couplé d’équations des ondes par des contrôles frontières de Dirichlet. C R Math Acad Sci Paris, 2012, 350(15–16): 767–772

    Article  MathSciNet  Google Scholar 

  3. Li T T, Rao B P. Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Chin Ann Math Ser B, 2013, 34(1): 139–160

    Article  MathSciNet  Google Scholar 

  4. Li T T, Rao B P. A note on the exact synchronization by groups for a coupled system of wave equations. Math Methods Appl Sci, 2015, 38(2): 241–246

    Article  MathSciNet  Google Scholar 

  5. Li T T, Rao B P. On the exactly synchronizable state to a coupled system of wave equations. Port Math, 2015, 72(2–3): 83–100

    Article  MathSciNet  Google Scholar 

  6. Li T T, Rao B P. Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls. J Math Pures Appl (9), 2016, 105(1): 86–101

    Article  MathSciNet  Google Scholar 

  7. Li T T, Rao B P, Hu L. Exact boundary synchronization for a coupled system of 1-D wave equations. ESAIM Control Optim Calc Var, 2014, 20(2): 339–361

    Article  MathSciNet  Google Scholar 

  8. Li T T, Rao B P, Wei Y M. Generalized exact boundary synchronization for a coupled system of wave equations. Discrete Contin Dyn Syst, 2014, 34(7): 2893–2905

    Article  MathSciNet  Google Scholar 

  9. Lions J L. Contrôlabilité Exacte, Perturbations et Stabilisation de Systèmes Distribués. Tome 1. Paris: Masson, 1988

    MATH  Google Scholar 

  10. Wang Y Y. Generalized exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls. Chin Ann Math Ser B (to appear)

  11. Wang Y Y. On the generalized exact boundary synchronization for a coupled system of wave equations. Math Methods Appl Sci (to appear)

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Yanyan Wang

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  1. Yanyan Wang
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Correspondence to Yanyan Wang.

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Wang, Y. Determination of generalized exact boundary synchronization matrix for a coupled system of wave equations. Front. Math. China 14, 1339–1352 (2019). https://doi.org/10.1007/s11464-019-0798-0

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  • DOI: https://doi.org/10.1007/s11464-019-0798-0

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