Equivalence of Two Stabilization Schemes for a Class of Linear Parabolic Boundary Control Systems
Volume 60 / 2012
Bulletin Polish Acad. Sci. Math. 60 (2012), 187-199
MSC: Primary 93D15; Secondary 35B35, 35K50, 93C20.
DOI: 10.4064/ba60-2-8
Abstract
The paper studies the stabilization problem for a class of linear parabolic boundary control systems with a Riesz basis. The author earlier proposed two different feedback control schemes to cope with the difficulties arising from the feedback terms on the boundary; these schemes are based on different ideas, and look fairly different from each other. We show, however, that they are algebraically similar.
