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Attraction for autonomous mechanical systems with sliding friction

✍ Scribed by V.M. Matrosov; I.A. Finogenko

Book ID
104142609
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
545 KB
Volume
62
Category
Article
ISSN
0021-8928

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✦ Synopsis

Issues on attraction in autonomous mechanical systems with ideal holonomic bilateral constraints acted upon by potential gyroscopic dissipative force,,; and forces of sliding friction are considered. In particular, the semi-invariance of to-limit sets and the conditions for the dichc tomy of such systems are established. The investigation is based on the invariance principle using several Lyapunov functions, combining the methods of with the La SaUe invariance principle [2, 3] applied to autonomous systems with a discontinuous right-hand side.

πŸ“œ SIMILAR VOLUMES

The stability of the set of equilibrium
The stability of the set of equilibrium positions of autonomous mechanical systems with sliding friction
✍ V.M. Matrosov; I.A. Finogenko πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 599 KB

Problems of the stability of the set of equilibrium positions of autonomous differential equations, to which the equations of motion of mechanical systems with sliding friction can be reduced, are considered (see [1,2]). The structure of the equations, due to the specific features of the system, is