Global boundary feedback stabilization for a class of pseudo-parabolic partial differential equations

This paper considers the boundary stabilization problem for a class of nonlinear pseudo-parabolic partial differential equations. The proposed control laws are used to achieve semi-global exponential stability for the nonlinear systems in the H1-sense. An H2 bound of the solution for the nonlinear systems is also derived. A numerical example is included to illustrate the application of the proposed control laws.

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