Title: Optimality of Euler’s elasticae

Authors: Yu. L. Sachkov

Journal title: Doklady Mathematics

Year: 2007

Issue: 3

Volume: 76

Pages: 817 – 819

Abstract:

Euler’s problem of stationary configurations of an elastic rod with fixed endpoints and tangents at the end-points is considered. The existence and boundedness of optimal controls are proved. Bounds on the cut points and conjugate points are obtained

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