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The exponential stability and stabilization of non-autonomous mechanical systems with non-conservative forces

✍ Scribed by A.A. Kosov

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 389 KB
Volume: 71
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2007.07.011

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✦ Synopsis

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-conservative forces is considered with and without the use of potential forces. The problem of stabilizing a non-autonomous system with specified potential forces by the action of the forces of another structure is studied. The domain of stabilizability of the relative equilibrium position of a satellite in a circular orbit is found.

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