C. Fabre, J. P. Puel and E. Zuazua, “Approximate Controllability of the Semilinear Heat Equation”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 125, No. 1, 1995, pp. 31-64. doi:10.1017/S0308210500030742

has been cited by the following article:

• TITLE: Regional Controllability of Semi-Linear Distributed Parabolic Systems: Theory and Simulation

  AUTHORS: Asmae Kamal, Ali Boutoulout, Sidi Ahmed Ould Beinane

  KEYWORDS: Semi-Linear Parabolic Systems; Regional; Internal/Boundary Controllability; Fixed-Point Theorems; Distributed System; HUM Approach

  JOURNAL NAME: Intelligent Control and Automation, Vol.3 No.2, May 23, 2012

  ABSTRACT: The aim of this brief paper is to give several results concerning the regional controllability of distributed systems governed by semi-linear parabolic equations. We concentrate on the determination of a control achieving internal and boundary regional controllability. The approach is based on an extension of the Hilbert Uniqueness Method (HUM) and Schauder’s fixed point theorem. We give a numerical example developed in internal and boundary sub region. These numerical illustrations show the efficiency of the approach and lead to conjectures.