@article{MAKHILLRJAS2014969393, title = {Fast Robot Path Planning with Laplacian Behaviour-Based Control via Four-Point Explicit Decoupled Group SOR}, journal = {Research Journal of Applied Sciences}, volume = {9}, number = {6}, pages = {354-360}, year = {2014}, issn = {1815-932x}, doi = {rjasci.2014.354.360}, url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2014.354.360}, author = {Azali,Jumat and}, keywords = {Robot path planning,Laplace’s equation,Laplacian behaviour-based control,four-point explicit decoupled group SOR,configuration space}, 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.} }