FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 1, PAGES 199-233
R. Hildebrand
Abstract
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The paper is devoted to the investigation of controllable oscillating
systems of ordinary differential equations affine in scalar
nonsymmetric control in a neighborhood of a singular point
of focus or center type. Integrands in value functionals
are quadratic in phase coordinates. We classify such systems
in case of general position by arising optimal syntheses.
The existence of optimal synthesis is proved
and its structure is described.
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Last modified: May 10, 2001