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

Copyright

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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[2]	Abiola, B.(2009) “Control of Dynamical Systems in The Presence of Bounded Uncertainties” Unpublished PhD Thesis , Department of Mathematics University of Agriculture Abeokuta.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.