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Stabaility Theorem for the Manifold of Equilibrium States of Nonholonomic Systems

Zhu Haiping(Department of Applied Mechanics ,Beijing Institute of Technology, Beijing 100081)Ge Weikuan(Department of Physics ,Huzhou Teacher's College,Huzhou 313000)  
Based on the theory of stability of matheld, this paper discuss the stability problem for the manifold of equilibrium states of linear nonholonomic systems Some criteria of stability for the manifold of equilibrium stabal of conservative and gyroscopic sys with linear nonholonofor constraints are obtainal.
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