Approximate controllability of a reaction-diffusion system

摘要

An open-loop control for a system coupling a reaction-diffusion system and an ordinary differential equation is proposed in this study. We use a flatness-like property, indeed, the solution can be expressed in terms of an infinite series depending on a flat output, its derivatives and its integrals. This series is shown to be convergent if the flat output is Gevrey of order 1 < a <= 2. Approximate controllability of the system is then proved. (C) 2008 Elsevier B.V. All rights reserved.