Pursuit-evasion differential games with deception or interrupted observation
Three stochastic pursuit-evasion differential games involving two players, E (the evader) and P (the pursuer), moving in the plane are considered. In the first game [Game (a)], the case where E induces errors in P's measurements of the bearing \(\beta\) of E from P and controls the size and direction of these errors, is considered. In the second game [Game (b)], the case where P receives readings of two false targets, which are seen within the same range of P, but with different bearing angles, is considered. In the third game [Game (c)], the case where P observes the range r of E from P, but has interrupted observation of \(\beta\), is considered. In Games (a) and (b) P applies Proportional navigation guidance laws, and in Game (c) E applies a Line-of-sight guidance law. In Game (a), sufficient conditions on optimal evasion- deception strategies for E are given, and the strategies are computed for several cases. In Game (c), sufficient conditions on weak optimal pursuit strategies for P are given. A procedure is suggested for computing weak suboptimal pursuit strategies, and these are computed for a variety of cases.
stochastic pursuit-evasion differential games
scientific article; zbMATH DE number 4029323
scientific article