W. M. Bian, “Constrained Controllability of Some Nonlinear Systems,” Applicable Analysis, Vol. 72, No. 1-2, 1999, pp. 57-73. doi:10.1080/00036819908840730

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.