On gyroscopic stabilization of equilibria of nonlinear potential systems

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The problem of gyroscopic stabilization of the equilibrium position of nonlinear potential systems with a potential of a special kind is considered. The conditions of stabilization of the equilibrium position by attaching gyroscopic forces are obtained. Estimates from below for large parameters with matrices of gyroscopic forces guaranteeing stability of equilibrium in a closed system are given.

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作者简介

A. Kosov

Matrosov Institute for System Dynamics and Control Theory of SB RAS

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Email: kosov_idstu@mail.ru
俄罗斯联邦, Irkutsk

参考

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  5. Kozlov V.V. Gyroscopic stabilization of degenerate equilibria and the topology of real algebraic varieties // Dokl. Math., 2008, vol. 77, iss. 3, pp. 412–415. https://doi.org/10.1134/S1064562408030253
  6. Gantmakher F.R. The Theory of Matrices. N.Y.: Chelsea, 1989–1990.
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  8. Lakhadanov V.M. On stabilization of potential systems // JAMM, 1975, vol. 39, iss. 1, pp. 45–50.

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