ISSN:
1573-2878
Keywords:
Differential games
;
pursuit-evasion games
;
singular surfaces
;
barrier surface
;
state constraints
;
open-loop strategies
;
multipoint boundary-value problems
;
flight mechanics
;
missile firing range
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Complex pursuit-evasion games with state variable inequality constraints are investigated. Necessary conditions of the first and the second order for optimal trajectories are developed, which enable the calculation of optimal open-loop strategies. The necessary conditions on singular surfaces induced by state constraints and non-smooth data are discussed in detail. These conditions lead to multi-point boundary-value problems which can be solved very efficiently and very accurately by the multiple shooting method. A realistically modelled pursuit-evasion problem for one air-to-air missile versus one high performance aircraft in a vertical plane serves as an example. For this pursuit-evasion game, the barrier surface is investigated, which determines the firing range of the missile. The numerical method for solving this problem and extensive numerical results will be presented and discussed in Part 2 of this paper; see Ref. 1.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00939876
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