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    Boundary Backstepping Control for Multi-Dimensional Wave Equations
    (Kırıkkale Üniversitesi, 2017) Sezgin, Aziz
    Inthis study, we consider the problem of the stabilization of chosen unstablemulti-dimensional wave equations by using boundary backstepping control theory.For this purpose, we design boundary backstepping controllers inspired by the1-D unstable wave equation stabilization procedure and the target systems areconsidered by using Lyapunov stability procedure. We assume that one side ofthe boundary is hinged and the other side is controlled for each direction.Thus, we design two controllers for 2-D domain, three controllers for 3-Ddomain and “n” controllers for n-D domain. Generalized Volterra/Fredholm typetransformations are used to map the unstable systems to an exponentially stablesystem.