Global stability of the rotational motion of a rigid body containing moving masses

被引：11
作者：
El-Gohary, A [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2001年 / 36卷 / 04期
关键词：
Asymptotic stability - Functions - Lyapunov methods - Nonlinear control systems - Problem solving - Rigidity;
D O I：
10.1016/S0020-7462(00)00030-5
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this work we have studied the problem of global asymptotic stability of the rotational motion of a rigid body with the help of moving point masses, using the Lyapunov function. The control forces leading to the rotational motion are determined. The conditions for global asymptotic stability of this motion are used to obtain the control law as non-linear functions of the phase coordinates of the system. Some of special cases of the studied problem are investigated. (C) 2001 Published by Elsevier Science Ltd.
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页码：663 / 669
页数：7
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