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A problem of the sequential approach to a group of moving points by a third-order non-linear control system

✍ Scribed by Yu.I. Berdyshev

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 726 KB
Volume: 66
Category: Article
ISSN: 0021-8928
DOI: 10.1016/s0021-8928(02)90001-8

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✦ Synopsis

The problem of the fastest sequential circumvention of a group of moving points by a third-order non-linear controlled object is investigated. The necessary conditions for optimal&y of the control and the convergence times are used in the form of Pontryagin's Maximum Principle and the conditions for smoothing the Hamiltonian. The problem is not assumed to be divisible into several successively solvable "two-point problems".

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