Study of Linear Game with Two Pursuers and One Evader: Different Strength of Pursuers

Ganebny, S. A.; Kumkov, Sergey S.; Ménec, Stéphane Le; Patsko, V.S.

doi:10.1007/978-0-8176-8355-9_14

Cited by 7 publications

(13 citation statements)

References 12 publications

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“…In the studies [46–48], the head‐on scenario of two pursuers and one evader is considered, as depicted in Figure 3, where P 1 , P 2 denote the two pursuers and E denotes the evader. The initial velocities of the players are assumed to be parallel, and the lateral acceleration commands are taken as the control inputs.…”

Section: Multiplayer Pursuit‐evasionmentioning

confidence: 99%

Recent progress on the study of multi‐vehicle coordination in cooperative attack and defense: An overview

Zhou

et al. 2021

Asian Journal of Control

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Cooperative guidance and control design of multiple vehicles plays an important role in obtaining benefits of cooperation for enhancement of combat effectiveness in modern military. A number of efficient cooperative strategies have been developed in literature within this context. This paper aims to provide a detail overview of the theoretical advances toward multi-vehicle coordination for cooperative attack and defense. With a focus on the pertinent literature published in the past two decades, this topic is divided into two categories, namely, terminal-time coordination and multiplayer pursuit-evasion. The recent progress of these two categories is systematically reviewed, and a short discussion on future research perspectives is also presented.

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Section: Multiplayer Pursuit‐evasionmentioning

confidence: 99%

Recent progress on the study of multi‐vehicle coordination in cooperative attack and defense: An overview

Zhou

et al. 2021

Asian Journal of Control

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“…Partitions of the state space were identified and categorized, which are similar to the degenerate and the nondegenerate regions discussed later on in this paper. A linear differential game formulation restricting the motion of the players to a straight line with the two pursuers coordinating to reduce the miss distance was extensively studied by several researchers [30][31][32]. An algorithm to numerically construct level sets of the value function with fixed final time was also discussed in [33].…”

Section: Introductionmentioning

confidence: 99%

“…Most of the existing work on two-pursuer/one-evader problems either deals with linear dynamics and then tries to optimize miss distance (with quadratic cost and fixed final time, [30][31][32]) or considers formulations involving particular tasks and constraints [28,35,36]. Though time-optimal solutions for these problems were briefly investigated in the book by Isaacs [1], to the best of the authors' knowledge, there is no rigorous work existing beyond that discussion.…”

Section: Introductionmentioning

confidence: 99%

Optimal Evading Strategies for Two-Pursuer/One-Evader Problems

Makkapati

Sun

Tsiotras

2018

Journal of Guidance, Control, and Dynamics

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Pursuit-evasion problems involving two pursuers and one evader are presented and analyzed. Two distinct scenarios differing in the type of information that the pursuers have about the evader's strategy are analyzed. The first scenario involves pursuers that have access to the evader's position and velocity at each instant of time, and consequently they follow a constant-bearing strategy. In the second scenario, it is assumed that the pursuers have only information about the evader's instantaneous position, and they follow a pure-pursuit strategy. In both these scenarios, the evader has information about the pursuers' location at every instant of time, and in addition, it also knows their pursuit strategy. The evading strategies maximizing capture time in both scenarios are studied under an optimal control framework. The two scenarios are further analyzed assuming that there is only one active pursuer. Such a case arises when the two pursuers follow a relay pursuit strategy.

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“…They identified partitions in the state-space and their categorization is similar to the degenerate and the non-degenerate regions, subsequently discussed in this paper. A linear differential game formulation of the problem with the motion of the players restricted to a straight line was studied and presented in great detail [4][5][6]. In this type of formulation, the two pursuers coordinate to reduce the miss distance.…”

Section: Introductionmentioning

confidence: 99%