Azali  Saudi, Jumat  Sulaiman, Mohd Hanafi Ahmad  Hijazi, 
    Fast Robot Path Planning with Laplacian Behaviour-Based Control via Four-Point Explicit Decoupled Group SOR,
    Research Journal of Applied Sciences,
    Volume 9,Issue 6,
    2014,
    Pages 354-360,
    ISSN 1815-932x,
    rjasci.2014.354.360,
    (https://makhillpublications.co/view-article.php?doi=rjasci.2014.354.360)
    Abstract: This study proposed a robot path planning technique that employs Laplacian Behaviour-Based Control (LBBC) for space exploration which relies on the use of Laplace’s equation to constrain the generation of the potential function of the configuration space of a mobile point-robot. The LBBC provides the Searching algorithm with the capability to escape from flat region, whilst iteration via Four-point Explicit Decoupled Group SOR (4EDGSOR) provides fast computation for solving the Laplace’s equation that represent the potential values of the configuration space.
    Keywords: Robot path planning;Laplace’s equation;Laplacian behaviour-based control;four-point explicit decoupled group SOR;configuration space