Optimal guaranteed dynamic search of mobile object on the plane
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2015, Vol 68, Issue 4
Abstract
A problem of time-optimal guaranteed dynamic search of moving object with controllable acceleration in plane is observed, where the state of the sought object is known up to a given set. It is shown, that on a basis of minimax approach the problem can be reduced to time-optimal speed control problem with moving right end. Applying Pontryagin's maximum principle gives as a result explicit formulas which allow calculation of optimal guaranteed control and corresponding minimal guaranteed search time, depending on initial distance between the centers of the seeking object’s discovery circle and sought object’s uncertainty circle.
Authors and Affiliations
Vahan Avetisyan
Keywords
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