The exponential stability of the unperturbed motion of a non-autonomous mechanical system with a complete set of forces, that is, dissipative, gyroscopic, potential and non-conservative positional forces, is investigated. The problem of stabilizing a nonautonomous system with specified non-conservat
The stability of mechanical systems with positional non-conservative forces
β Scribed by A.P. Ivanov
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 381 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Developing results obtained previously (Refs. Koshlyakov VN. Structural transformations of the equations of perturbed motion of a certain class of dynamical systems. Ukr Mat Zh 1997; 49 (4): 535-539; Koshlyakov VN. Structural transformations of dynamical systems with gyroscopic forces. Prikl Mat Mek
Earlier results [1--4] are developed in application to a certain special class of non-conservative mechanical systems in which the matrices of dissipative and non-conservative forces are singular. For this class of systems, necessary and sufficient conditions are formulated for reducing the initial
Results obtained previously [1,2], which are applicable to mechanical systems containing non-conservative positional forces, are developed and generalized. The necessary and sufficient conditions are formulated for the transition to a certain matrix equation, the use of which enables one to overcome