Equivalence between observability and stabilization for a class of second order semilinear evolution

Louis Tcheugoue Tebou

doi:10.3934/proc.2009.2009.744

Article Contents

2009, Volume 2009: 744-752. Doi: 10.3934/proc.2009.2009.744 open access

This issue Previous Article New comparison principle with Razumikhin condition for impulsive infinite delay differential systems Next Article A simple model of two interacting signaling pathways in embryonic Xenopus laevis

Equivalence between observability and stabilization for a class of second order semilinear evolution

Louis Tcheugoue Tebou^1,

1.
Department of Mathematics, Florida International University, University Park, Miami, Florida 33199

Received: July 31, 2008

Revised: January 31, 2009

Published: August 2009

Abstract Related Papers Cited by

Abstract

We consider an abstract second order semilinear evolution equation with a bounded dissipation. We establish an equivalence between the stabilization of this system and the observability of the corresponding undamped system. Our technique of proof relies on an appropriate decomposition of the solution, and the energy method. Our result generalizes an earlier one by Haraux [5] who studied the same type of problem for linear systems. Some applications of our result are provided, and the paper ends with a few open problems.

Keywords:

Mathematics Subject Classification: Primary: 93D15; Secondary: 35L70, 35L05, 37L15.

Citation:

Article Metrics

HTML views() PDF downloads(147) Cited by(0)

Equivalence between observability and stabilization for a class of second order semilinear evolution

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Equivalence between observability and stabilization for a class of second order semilinear evolution

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content