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Mat. Zametki, 2011, Volume 90, Issue 2, Pages 163–167 (Mi mz6603)  

On Pontryagin's First Direct Method in Pursuit Problems

A. A. Azamov

Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan

Abstract: We describe an example of a three-dimensional linear differential game with convex compact sets of control. In this example, the integrand in Pontryagin's first direct method is discontinuous on a set of positive measure.

Keywords: linear differential game, Pontryagin direct method, convex compact set of control, stroboscopic strategy, Lebesgue measurability, Borel measurability, Aumann integral, Hausdorff metric, Cantor discontinuum

DOI: https://doi.org/10.4213/mzm6603

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English version:
Mathematical Notes, 2011, 90:2, 157–161

Bibliographic databases:

UDC: 519.978.2
Received: 06.10.2008

Citation: A. A. Azamov, “On Pontryagin's First Direct Method in Pursuit Problems”, Mat. Zametki, 90:2 (2011), 163–167; Math. Notes, 90:2 (2011), 157–161

Citation in format AMSBIB
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