Pursuit and Evasion Game under Uncertainty

Bankole Abiola¹ and R.K. Ojikutu^1,

¹Department of Actuarial Science and Insurance Faculty of Business Administration University of Lagos Akoka, Lagos

Cite this paper:
Bankole Abiola and R.K. Ojikutu. Pursuit and Evasion Game under Uncertainty. American Journal of Applied Mathematics and Statistics. 2013; 1(2):21-26. doi: 10.12691/ajams-1-2-1

Abstract

This paper examined a class of multidimensional differential games. In particular, it considered a situation in which the pursuer and evader are affected by uncertain disturbances. A necessary and sufficient condition for the existence of saddle point for this class of games was developed.

Keywords:
uncertain disturbances pursuer evader differential games

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]	Abiola, B.(2012) “On Generalized Saddle Point Solution for a Class of Differential Games” International Journal of Science and Advanced Technology, 2(8):27-31.
[2]	Abiola, B.(2009) “Control of Dynamical Systems in The Presence of Bounded Uncertainties” Unpublished PhD Thesis , Department of Mathematics University of Agriculture Abeokuta.
[3]	Arika, I. (1976). “Linear Quadratic Differential Games in Hilbert Space” SIAM Journal of Control and Optimization, 1(1).
[4]	Gutman,S, (1975). “Differential Games and Asymptotic Behaviour of Linear Dynamical Systems in the Presence of Bounded Uncertainty” PhD Dissertation, University of California, Berkley.
[5]	Leitmann, G, (2004) “A Direct Optimization Method and its Application to a Class of Differential Games” Journal of Dynamics of Continuous and Intensive Systems, 11, 191-204.