Title :
Global boundary feedback stabilization for a class of pseudo-parabolic partial differential equations
Author :
Hasan, Aftab ; Aamo, Ole Morten ; Foss, Bjarne
Author_Institution :
Dept. of Cybern. Eng., NTNU, Trondheim, Norway
Abstract :
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.
Keywords :
asymptotic stability; control system synthesis; feedback; nonlinear differential equations; nonlinear systems; parabolic equations; partial differential equations; H1-sense; H2 bound; boundary stabilization problem; global boundary feedback stabilization; nonlinear pseudoparabolic partial differential equations; nonlinear systems; semiglobal exponential stability; Boundary conditions; Equations; Integral equations; Mathematical model; Nonlinear systems; Partial differential equations; Surface waves;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580715
