Lagrange’s Theorem for a Class of Nonholonomic Systems and Its Application

Li Gangchang; He Shiben

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Li Gangchang, He Shiben. Lagrange’s Theorem for a Class of Nonholonomic Systems and Its Application[J]. Applied Mathematics and Mechanics, 1998, 19(2): 126-135.

Citation:

Li Gangchang, He Shiben. Lagrange’s Theorem for a Class of Nonholonomic Systems and Its Application[J]. Applied Mathematics and Mechanics, 1998, 19(2): 126-135.

Citation:

Li Gangchang, He Shiben. Lagrange’s Theorem for a Class of Nonholonomic Systems and Its Application[J]. Applied Mathematics and Mechanics, 1998, 19(2): 126-135.

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Lagrange’s Theorem for a Class of Nonholonomic Systems and Its Application

Department of Basic Science, Liaoning Teehnical University, Fuxin 123000, P. R. China

Received Date: 1995-09-06
Rev Recd Date: 1997-06-28
Publish Date: 1998-02-15

Abstract

Abstract

The stability problem for the manifold of equilibrium positions of a class of nonholonomic systems is studied is studied in this paper.Based on Liapunov's direct method and the definition of stability,Lagrange's theorem of holonomic systems is extended to a class of nonholonomic conservative systems and dissipative systems,and a new expression is made to the relation between asymptotic stability for the manifold of equilibrium positions of this class of nonholonomic systems and dissipative forces.Two examples are finally given to illustrate the application of the theorems.
- nonholonomic system,
- Lagrange’s theorem,
- manifold,
- stability,
- Liapunov’s direct method

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References(7)

References

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