On the Inverse Problem for Robust Capture Zone Construction

V. Y. Glizer () and V. Turetsky
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V. Y. Glizer: Israel Institute of Technology
V. Turetsky: Israel Institute of Technology

Journal of Optimization Theory and Applications, 2008, vol. 137, issue 2, No 8, 400 pages

Abstract: Abstract An interception problem with variable velocities and variable lateral acceleration boundaries is considered. Two problems, inverse to constructing the capture zone for a given linear strategy, are formulated. In the first (weak) formulation, a linear strategy is derived forcing its capture zone to contain a given set. In the second (strong) formulation, the capture zone of such a linear strategy is forced to coincide with a given set. A step-by-step algorithm, solving these problems, is derived. This algorithm is based on a detailed differential-geometrical analysis of the capture zone boundary. Illustrative examples are presented.

Keywords: Interception; Linear feedback; Robust capture zone; Inverse problem (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9337-3

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