A Simple Pursuit-Evasion Problem for Differential Games with Time Delay
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. In this article, pursuit-evasion differential games with simple motion and time delay
are studied under geometric constraints on the controls of both players. Depending on the initial
states of the players and the parametric values involved in the control constraints, the problem
is analyzed accordingly. To solve the pursuit problem, a parallel pursuit strategy (Π−strategy) is
proposed, which ensures the best possible convergence of the players, and its structure is examined
with respect to the parameters. For the considered class of differential games, sufficient conditions
for the solvability of both the pursuit and evasion problems are obtained.
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