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In [7, 10], some collocated boundary stabilization problems were investigated.
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The boundary stabilization problem is converted to a problem of solving a specific Klein Gordon-type linear hyperbolic PDE.
Different methodologies with different conservatism for the basic stability and stabilization problems are developed and compared.
Moreover, design methodologies for such constrained stabilization problems are presented.
An LQ strong stabilization problem is proposed.
(2) The Mittag-Leffler stabilization problem is achieved using a systematic design procedure and without any growth restriction on nonlinearities.
The problem of boundary stabilization is considered for some classes of coupled parabolic linear PDEs of the reaction diffusion type.
To avoid this problem an additional boundary stabilization is introduced, that removes unstable eigenvalues without interfering with accuracy and stiffness.
Numerical problems were addressed by a two step stabilization process.
The multipoint boundary value problem is in fact a special case of the boundary value problem with integral boundary conditions.
This stabilization problem has been unsolved for over two decades.
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