Abstract and Applied Analysis 
Volume 2003 (2003), Issue 12, Pages 697-714
doi:10.1155/S1085337503212100

Feedback stabilization of semilinear heat equations

V. Barbu1 and G. Wang2

 1Department of Mathematics, “Alexandru Ioan Cuza” University, Iasi 6600, Romania
2Department of Mathematics and The Center for Optimal Control and Discrete Mathematics, Huazhong Normal University, Wuhan 430079, China
Received 24 October 2002

Abstract

This paper is concerned with the internal and boundary stabilization of the steady-state solutions to quasilinear heat equations via internal linear feedback controllers provided by an LQ control problem associated with the linearized equation.