Stability properties of the merostatic motions of a class of non-holonomic systems are analyzed. A necessary and sufficient condition for stability is given by means of a Lyapunov-like function. Moreover, this function allows to state many known propositions on linear stability as rigorous stability results. As an application it is considered the case of a heavy simmetrical rigid body of revolution constrained to roll without sliding on a horizontal plane.

Stability problems for a class of nonholonomic mechanical systems.

VISENTIN, FRANCESCA
1996

Abstract

Stability properties of the merostatic motions of a class of non-holonomic systems are analyzed. A necessary and sufficient condition for stability is given by means of a Lyapunov-like function. Moreover, this function allows to state many known propositions on linear stability as rigorous stability results. As an application it is considered the case of a heavy simmetrical rigid body of revolution constrained to roll without sliding on a horizontal plane.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/205601
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