TITLE:
Differential Games of Pursung in the Systems with Distributed Parameters and Geometrical Restrictions
AUTHORS:
M. Sh. Mamatov, E. B. Tashmanov, , H. N. Alimov
KEYWORDS:
Pursuit; Pursuer; Evader; Terminal Set; Pursuit Control; Evasion control
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.3 No.3B,
October
25,
2013
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.