期刊
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
卷 14, 期 3, 页码 409-439出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10883-008-9044-x
关键词
Euler elastica; optimal control; conjugate points; exponential mapping
For the classical Euler elastic problem, conjugate points are described. Inflexional elasticas admit the first conjugate point between the first and third inflexion points. All other elasticas do not have conjugate points. As a result, the problem of stability of Euler elasticas is solved.
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