Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics
Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics
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DOI：
10.1070/rm9783
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发表时间：
2017-01-01
影响因子：
0.9
通讯作者：
Bizyaev, I. A.
中科院分区：
文献类型：
--
作者：
Borisov, A. V.;Mamaev, I. S.;Bizyaev, I. A.
这是一个调查的主要形式的动力系统方程的不可积的约束，分为两大组。第一组包含在vakonomic力学和最优控制理论中产生的系统，从变分原理获得的运动方程，第二组包含在经典非完整力学中的系统，当约束是理想的，因此达朗贝尔-拉格朗日原理成立。
This is a survey of the main forms of equations of dynamical systems with non-integrable constraints, divided into two large groups. The first group contains systems arising in vakonomic mechanics and optimal control theory, with the equations of motion obtained from the variational principle, and the second contains systems in classical non-holonomic mechanics, when the constraints are ideal and therefore the D'Alembert-Lagrange principle holds.