Differential Games of Pursung in the Systems with Distributed Parameters and Geometrical Restrictions

M. Sh. Mamatov, E. B. Tashmanov,, H. N. Alimov

Department “Geometry”, National University of Uzbekistan Named After M. Ulugbek, Tashkent, Uzbekistan.

DOI: 10.4236/ajcm.2013.33B010                

Abstract

A problem of pursuit in the controlled systems of elliptic type without mixed derivatives with variable coefficients was considered. The model of the considered system is described by partial differential equations. The players (opponents) control parameters occur on the right-hand side of the equation and are subjected to various constraints. The first player’s goal is to bring the system from one state into another desired state; the second player’s goal is to prevent this from happening. We represent new sufficient conditions for bringing the system from one state into another. The finite-difference method is used to solve this problem.

Keywords

Pursuit; Pursuer; Evader; Terminal Set; Pursuit Control; Evasion control

Conflicts of Interest

The authors declare no conflicts of interest.

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