Exact boundary synchronization for a coupled system of wave equations
The paper is devoted to the system NEWLINE\[NEWLINE \frac{\partial^2 U}{\partial t^2} - \frac{\partial^2 U}{\partial x^2} + AU = 0, NEWLINE\]NEWLINE where \(U=(u_1,\ldots,u_N )^{\top}\) is an unknown vector function of \((t,x)\), \(A=(a_{ij})\) is an \(N\times N\) coupling matrix with constant elements. For this system the author gives a survey of results obtained jointly with the co-authors (see, \textit{T. Li} et al. [ESAIM, Control Optim. Calc. Var. 20, No. 2, 339--361 (2014; Zbl 1332.35213)]). The results are related to exactly boundary synchronizable, exactly synchronizable by 2-groups, exactly null controllable systems and corresponding sufficient conditions.NEWLINENEWLINEFor the entire collection see [Zbl 1291.00056].
scientific article; zbMATH DE number 6366844