Escape Regions of the Active Target Defense Differential Game


Eloy Garcia

Document Type

Conference Proceeding

Publication Date



The active target defense differential game is addressed in this paper. In this differential game an Attacker missile pursues a Target aircraft. The aircraft is however aided by a Defender missile launched by, say, the wingman, to intercept the Attacker before it reaches the Target aircraft. Thus, a team is formed by the Target and the Defender which cooperate to maximize the separation between the Target aircraft and the point where the Attacker missile is intercepted by the Defender missile, while the Attacker simultaneously tries to minimize said distance. This paper focuses on characterizing the set of coordinates such that if the Target's initial position belong to this set then its survival is guaranteed if both the Target and the Defender follow their optimal strategies. Such optimal strategies are presented in this paper as well.


The "Link to Full Text" on this page opens or downloads the e-print version of the conference paper from the repository. The e-print was posted in April 2015.

Published at arXiv under the Creative Commons Public Domain license. (CC PD).

The final conference paper is available to subscribers from ASME Digital Library, as cited below.


10.1115/DSCC2015-9628 [ASME] ; 10.48550/arXiv.1504.07900 [arXiv]

Source Publication

arXiv [math.OC]