2006
DOI: 10.2514/1.17910
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Game Optimal Support Time of a Medium Range Air-to-Air Missile

Abstract: This paper formulates a support time game arising in one-on-one air combat with medium range air-to-air missiles. The game model provides game optimal support times of the missiles that can receive target information from the launching aircraft for selectable support times. The payoffs of the game are formulated as a weighted sum of the probabilities of hit to the adversary and own survival. Under suitable simplifying assumptions, a Nash equilibrium of the game can be computed by an iterative search involving … Show more

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Cited by 17 publications
(17 citation statements)
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References 15 publications
(22 reference statements)
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“…Applications range from aircraft fighter combat, 3,4 or space shuttle reentry, 5 to air traffic management. 6,7 Missile interception has also been subject of such investigations, including optimal control based on binary control modeling 8 or receding horizon optimization approaches.…”
Section: Nomenclature α Kmentioning
confidence: 99%
“…Applications range from aircraft fighter combat, 3,4 or space shuttle reentry, 5 to air traffic management. 6,7 Missile interception has also been subject of such investigations, including optimal control based on binary control modeling 8 or receding horizon optimization approaches.…”
Section: Nomenclature α Kmentioning
confidence: 99%
“…The second scenario deals with a support time game [23] where the pilots face each other at the limit of the missile launch range. The pilots launch their missiles and support them, i.e., relay radar information about the opponent to their missiles to increase the likelihood of a hit.…”
Section: B Scenario 2: Support Time Of a Missilementioning
confidence: 99%
“…The second scenario studies the effect of a single maneuvering decision during the commit phase of AC. In the third scenario, a support time game [40] is studied. The game of this type takes place in AC when pilots have launched their medium range air-to-air missiles.…”
Section: Example Of Validation Analysismentioning
confidence: 99%
“…In order to be tractable, such game formulations have to be limited in detail and realism. For example, aircraft and missiles are described using 3-DOF point-mass models [4], [5], [22], [32], [34]- [36], [39], [40] or even more simplified equations of motion [24], [25], [28]- [30], [33], [41] that result in unrealistic flight paths that cannot be implemented in practice. In addition, many decision-making problems related to AC do not necessitate a dynamic or differential game formulation.…”
Section: Introductionmentioning
confidence: 99%