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K. Balachandran and J. P. Dauer, “Controllability of Nonlinear Systems via Fixed-Point Theorems”, Journal of Optimization Theory and Applications, Vol. 53, No. 3, 1987, pp. 345-352. doi:10.1007/BF00938943

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.