Capture zones of cheap control interception strategies

The interception of a maneuverable target is considered using a linearized kinematical model with first-order acceleration dynamics. This study concentrates on control strategies, based on the solution of a linear-quadratic differential game with cheap controls, guaranteeing capture without exceedin...

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Bibliographic Details
Published inJournal of optimization theory and applications Vol. 135; no. 1; pp. 69 - 84
Main Author TURETSKY, V
Format Journal Article
LanguageEnglish
Published New York, NY Springer 01.10.2007
Springer Nature B.V
Subjects
Applied sciences
Concentrates
Control equipment
Differential games
Dynamics
Exact sciences and technology
Game theory
Geometry
Guarantees
Interception
Mathematical models
Mathematical programming
Operational research and scientific management
Operational research. Management science
Optimization
Strategy
Studies
Target tracking
Perfectness function
Quadratic game
Modeling
Game theory
Capture
Parameter space
Capture zones
Linear game
Differential games
Interception
Differential game
Cheap control
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Summary:The interception of a maneuverable target is considered using a linearized kinematical model with first-order acceleration dynamics. This study concentrates on control strategies, based on the solution of a linear-quadratic differential game with cheap controls, guaranteeing capture without exceeding some prescribed (physical) limits. The conditions for a nontrivial capture zone are derived. Detailed description of these capture zones is obtained in the space of the problem parameters.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-007-9224-y