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 asymptotic stability of the equilibrium of non-autonomous systems
โ Scribed by A.Yu. Aleksandrov
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 316 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
The problem of stabilizing the motions of mechanical systems that can be described by non-autonomous systems of ordinary differential equations is considered. The sufficient conditions for stabilizing of the motions of mechanical systems with assigned forces due to forces of another structure are ob