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
โฆ LIBER โฆ
On the stability of the equilibrium of a linear mechanical system
โ Scribed by Oene Bottema
- Book ID
- 105254605
- Publisher
- Springer
- Year
- 1955
- Tongue
- English
- Weight
- 348 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0044-2275
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In this paper, we consider the conservative system x q a t x 2nq1 q e t, x s 0, n G 1, ## ลฝ . ลฝ . ลฝ . ลฝ . where a t is a continuous and 1-periodic function in the time t. e t, x is also 1-periodic in the time t and dominated by the power x 2 nq2 in a neighborhood of x s 0. A sufficient and neces