References

Akishita, S., T. Hisanobu and S. Kawamura, 1993. Fast path planning available for moving obstacle avoidance by use of Laplace potential. Proceedings of the 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'93) Vol. 1, July 26-30, 1993, IEEE, Yokohama, Japan, pp: 673-678.

Connolly, C.I. and R.A. Grupen, 1993. The applications of harmonic functions to robotics. J. Robotic Syst., 10: 931-946.
CrossRef  |  

Connolly, C.I., J.B. Burns and R. Weiss, 1990. Path planning using Laplace's equation. Proceedings of the IEEE International Conference on Robotics and Automation, Volume 3, May 13-18, 1990, Cincinnati, OH., pp: 2102-2106.

Dahalan, A.A., A. Saudi, J. Sulaiman and W.R.W. Din, 2017. Numerical evaluation of mobile robot navigation in static indoor environment via EGAOR Iteration. J. Phys. Conf. Ser., 890: 012064-012064.
Direct Link  |  

Hachour, O., 2008. Path planning of autonomous mobile robot. Int. J. Syst. Appl. Eng. Dev., 2: 178-190.
Direct Link  |  

Hadjidimos, A., 1978. Accelerated over-relaxation method. Math. Comput., 32: 149-157.
Direct Link  |  

Khatib, O., 1985. Real-time obstacle avoidance for manipulators and mobile robots. Proceedings of the 1985 IEEE International Conference on Robotics and Automation Vol. 2, March 25-28, 1985, IEEE, St. Louis, Missouri, pp: 500-505.

Koditschek, D.E., 1987. Exact robot navigation by means of potential functions: Some topological considerations. Proceedings of the IEEE International Conference on Robotics and Automation, Volume 4, March 1987, Raleigh, NC., pp: 1-6.

Liang, X., H. Wang, D. Li and C. Liu, 2014. Three-dimensional path planning for unmanned aerial vehicles based on fluid flow. Proceedings of the 2014 IEEE Conference on Aerospace, March 1-8, 2014, IEEE, Montana, USA., ISBN:978-1-4799-1619-1, pp: 1-13.

Masoud, A.A. and A. Al-Shaikhi, 2015. Time-sensitive, sensor-based, joint planning and control of mobile robots in cluttered spaces: A harmonic potential approach. Proceedings of the 2015 IEEE 54th Annual Conference on Decision and Control (CDC’15), December 15-18, 2015, IEEE, Osaka, Japan, ISBN:978-1-4799-7884-7, pp: 2761-2766.

Motonaka, K., K. Watanabe and S. Maeyama, 2014. 3-dimensional kinodynamic motion planning for an X4-Flyer using 2-dimensional harmonic potential fields. Proceedings of the 14th International Conference on Control, Automation and Systems (ICCAS’14), October 22-25, 2014, IEEE, Seoul, South Korea, ISBN:978-8-9932-1506-9, pp: 1181-1184.

Pedersen, M.D. and T.I. Fossen, 2012. Marine vessel path planning and guidance using potential flow. IFAC. Proc., 45: 188-193.

Sasaki, S., 1998. A practical computational technique for mobile robot navigation. Proceedings of the IEEE International Conference on Control Applications, Volume 2, September 1-4, 1998, Trieste, pp: 1323-1327.

Saudi, A. and J. Sulaiman, 2013. Robot path planning using Laplacian Behaviour-Based Control (LBBC) via half-sweep SOR. Proceedings of the 2013 International Conference on Technological Advances in Electrical, Electronics and Computer Engineering (TAEECE’13), May 9-11, 2013, IEEE, Konya, Turkey, ISBN:978-1-4673-5612-1, pp: 424-429.

Saudi, A., J. Sulaiman and M.H.A. Hijazi, 2014. Fast robot path planning with Laplacian Behaviour-Based Control via four-point explicit decoupled group SOR. Res. J. Appl. Sci., 9: 354-360.
CrossRef  |  Direct Link  |  

Shi, C., M. Zhang and J. Peng, 2007. Harmonic potential field method for autonomous ship navigation. Proceedings of the 7th International Conference on ITS Telecommunications (ITST'07), June 6-8, 2007, IEEE, Sophia Antipolis, France, ISBN:1-4244-1177-7, pp: 1-6.

Vallve, J. and J. Andrade-Cetto, 2015. Potential information fields for mobile robot exploration. Rob. Auton. Syst., 69: 68-79.