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This article is cited in 26 scientific papers (total in 26 papers)
The index of the second variation of a control system
A. V. Sarychev
Abstract:
The constancy of sign of the second variation of a nonlinear control system is investigated. Sufficient conditions for controllability of second order and also sufficient conditions for optimality with respect to fast action of the extremals of this system analogous to the Legendre–Jacobi conditions of the classical calculus of variation are obtained.
Bibliography: 6 titles.
Received: 05.03.1980
Citation:
A. V. Sarychev, “The index of the second variation of a control system”, Mat. Sb. (N.S.), 113(155):3(11) (1980), 464–486; Math. USSR-Sb., 41:3 (1982), 383–401
Linking options:
https://www.mathnet.ru/eng/sm2813https://doi.org/10.1070/SM1982v041n03ABEH002238 https://www.mathnet.ru/eng/sm/v155/i3/p464
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Abstract page: | 674 | Russian version PDF: | 167 | English version PDF: | 14 | References: | 73 | First page: | 2 |
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