The stability of non-conservative systems with singular matrices of dissipative forces
โ Scribed by V.N. Koshlyakov; V.L. Makarov
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 504 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
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 matrix equation to a form that admits of direct application of the Kelvin-Chetayev theorems. An example is presented.
๐ SIMILAR VOLUMES
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
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