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The effect of damping on the stability properties of equilibria of non-autonomous systems

โœ Scribed by L. Hatvani

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
441 KB
Volume
65
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

A review of recent results on the different properties of stability and stability with respect to a part of variables for a damped oscillator is presented. Asymptotic stability with respect to velocities is guaranteed for the equilibrium of Lagrange systems acted upon by friction with unlimited damping factors. Instances of the scalar equations Ji + h(t)Jc + x = 0 and J/+ h(t,x,k)Jc + f(x) = 0 are considered in the case of "large" damping, "small" damping and in the "general" case. The effect of "intermittent" friction is investigated.

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