In this study, differential game theory was applied to propose two guidance laws of a pursuer in an orbit pursuit–evasion–defense game. One conservative law maneuvering absolute safety before pursuing the evader, and other radical playing with defender only when necessary. Both enable avoid while but reduces pursuit time by moving closer defender. The pursuer, defender, evader are all spacecraf...

Thispaper addresses the pursuit-evasion problem ofmainaining surveillance by a pursuer ofan evader in a world populated by polygonal obstacles. This requires the pursur to plan colision-free motions that honor distance constrants imposed by sensor capabilities, while avoiding occlusion of the evader by any obstacle. The paper extends the three-dimensional cellular decomposition ofSchwartz and S...

The cops-and-robber (CR) game has been used in mobile robotics as a discretized model (played on a graph G) of pursuit/evasion problems. The “classic” CR version is a perfect information game: the cops’ (pursuer’s) location is always known to the robber (evader) and vice versa. Many variants of the classic game can be defined: the robber can be invisible and also the robber can be either advers...

Dawes, R.W., Some pursuit-evasion problems on grids, Information Processing Letters 43 (1992) 241-247. In a rectangular grid, a pursuit-evation “game” is played according to simple rules. One player (the cop) wins if both players ever occupy either the same row or the same column of the grid. The other player (the robber) wins if the cop loses. Movement of the players is restricted to the rows ...

We study a differential evasion game of multiple pursuers and an evader governed by several infinite systems two-block equations in the Hilbert space l2. Geometric constraints are imposed on players’ control functions. If state controlled system falls into origin l2 at some finite time, then pursuit is said to be completed game. The aim transfer least one l2, while purpose prevent it. A suffici...

As defense technology develops, it is essential to study the pursuit–evasion (PE) game problem in hypersonic vehicles, especially situation where a head-on scenario created. Under situation, vehicle’s speed advantage offset. This paper, therefore, establishes and model for two sides of attack defense, using twin delayed deep deterministic (TD3) gradient strategy, which has faster convergence re...

In this paper we analyze, based on an interplay between ideas and techniques from logic geometric analysis, a pursuit-evasion game. More precisely, focus uniform betweenness property use it in the study of discrete lion man game with $\varepsilon$-capture criterion. particular, prove that uniformly convex bounded domains always wins and, using stemming proof mining, extract rate convergence for...

In order to improve the problem of overly relying on situational information, high computational power requirements, and weak adaptability traditional maneuver methods used by hypersonic vehicles (HV), an intelligent strategy combining deep reinforcement learning (DRL) neural network (DNN) is proposed solve pursuit–evasion (PE) game under tough head-on situations. The twin delayed deterministic...