Optimization of guaranteed control of search for mobile object
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2013, Vol 66, Issue 2
Abstract
A problem of optimal search of moving point object with controllable speed in space is observed, where in the initial stage only the circular domain of the sought object is known. The sought object is a point object with controllable speed. The discovery, i.e. the identification of the precise coordinates of the object, is implemented through the moving information basis of the cone, the apex of which is connected to the current coordinates of the sough object. It is required to locate the object as quickly as possible. A control algorithm is proposed, as well as sufficient conditions identified, for a guaranteed discovery of the sought object in minimal timeframe. The objective of the problem set in the present paper is different from that of the problems [1-8] since in [1-6] the search is implemented in an unknown domain with immovable or moving sought object, whereas in [7,8] the search of the sought object starts outside of the unknown domain, where in [7] the searching body moves over a surface and completes the discovery through circular domain with a fixed radius, and in [8] the sought object is located through a semi-surface.
Authors and Affiliations
Vahan Avetisyan
Keywords
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