Boundary Feedback Stabilization of a Two-Dimensional Wave Equation

Article Preview

Abstract:

Boundary control of two-dimensional wave equation on the rectangle is considered in this paper. Boundary controllers are designed through backstepping method. Stabilization of the closed system is obtained under the controllers.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 219-220)

Pages:

957-960

Citation:

Online since:

March 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] A. Smyshlyaev, E. Cerpa and M. Krstic: Boundary stabilization of a 1-D wave equation with in-domain antidumping, SIAM Control and Optimization, Vol. 48 (2010), p: 4014-4031.

DOI: 10.1137/080742646

Google Scholar

[2] M. Krstic, B. Z. Guo, A.Balogh, A.Smyshlyaev: Output-feedback stabilization of an unstable wave equation, Automatica, Vol. 44 (2008): p: 63-74.

DOI: 10.1016/j.automatica.2007.05.012

Google Scholar

[3] A. Smyshlyaev, M. Krstic: Boundary control of an anti-stable wave equation with anti-damping on the uncontrollered boundary, System & Control Letters, Vol.58 (2009): p: 617-623.

DOI: 10.1016/j.sysconle.2009.04.005

Google Scholar

[4] W. J. Liu: Boundary feedback stabilization of an unstable heat equation, SIAM Control and Optimization, Vol.42 (2003), p: 1033-1043.

DOI: 10.1137/s0363012902402414

Google Scholar