The multi-agent systems community has made great strides investigating issues such as coordination and negotiation. When addressing human or human-agent behavior, very few approaches have addressed a feature that people are embodied in the real-world and act in geospatial environments. In the past, it has been difficult to perform experiments and collect data for such domains. However, with the...

Pursuit Evasion (P-E) problem has been studied as a non-cooperative zero-sum game in Homicidal Chauffer problem [1] in 1960s and in the game of two identical cars [2] most recently. The capture conditions in the two games, which govern the capture behavior, can be determined by solving Hamilton-Jacobi-Isaacs (HJI) equations. However, the existing game theoretic solution does not consider wheel ...

We study a version of pursuit evasion where two or more pursuers are required to capture the evader because the evader is able to overpower a single defender. The pursuers must coordinate their moves to fortify their approach against the evader while the evader maneuvers to disable pursuers from their unprotected sides. We model this situation as a game of Kabaddi, a popular South Asian sport w...

Optimal control problems which describe realistic technical applications exhibit various features of complexity. First, the consideration of inequality constraints leads to optimal solutions with highly complex switching structures including bang-bang, singular, and control-and state-constrained sub-arcs. In addition, also isolated boundary points may occur. Techniques are surveyed for the comp...

ABSTRACT: We consider a two-person zero-sum pursuit-evasion differential game in the Hilbert space l2. The control functions of the players are subject to integral constraints. It is assumed that the control resource of the pursuer is greater than that of the evader. The pursuer tries to force the state of the system towards the origin of the space l2, and the evader tries to avoid this. We giv...

We formulate a framework for discrete time stochastic hybrid dynamic game with two players and consider the reach-avoid problem, i.e. finding the probability that the system trajectory starting from any initial condition enters a target set while avoiding the obstacle set in a given time-horizon. We formulate the reach-avoid problem as a zero-sum stochastic game and show that the verification a...

This paper presents a novel and robust two-stage pursuit strategy for the incomplete-information impulsive space pursuit-evasion missions considering J2 perturbation. The firstly models game problem into far-distance rendezvous stage close-distance according to perception range of evader. For stage, it is transformed trajectory optimization new objective function proposed obtain with optimal te...