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 c
The stability of the set of equilibrium positions of autonomous mechanical systems with sliding friction
โ Scribed by V.M. Matrosov; I.A. Finogenko
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 599 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
โฆ Synopsis
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 taken into account substantially and the general properties of motions, investigated previously in [3,7], and the sets which arise when analysing the equations and which possess the properties of the absolute sector are used.
๐ SIMILAR VOLUMES
Mechanical systems with non-ideal geometrical constraints are considered. The possible lack of uniqueness of the solution of the problem of determining the generalized accelerations and reactions with respect to specified coordinates and velocities is taken into account in solving the problem of the
A method of investigating the stability of non-linear systems acted upon by unsteady perturbations is proposed, based on the use of Lyapunov's second method. The sufficient conditions for asymptotic stability of the solutions of non-autonomous systems in critical cases are obtained.