✦ LIBER ✦

The stability of the equilibrium positions of non-linear non-autonomous mechanical systems

✍ Scribed by A.Yu. Aleksandrov

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 387 KB
Volume: 71
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2007.07.015

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✦ Synopsis

The problem of the stability of the equilibrium positions for a certain class of non-linear mechanical systems under the action of time-dependent quasipotential and dissipative-accelerating forces is considered. A method is proposed for constructing Lyapunov functions for these systems. Sufficient conditions for the stability of an equilibrium position both with respect to all of the variables as well as with respect to some of the variables are determined using the direct Lyapunov method.

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