The exponential stability and stabilization of non-autonomous mechanical systems with non-conservative forces |
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Affiliation: | 1. Department of Applied Mathematics, Box 353925, University of Washington, Seattle, WA 98195-3925, USA;2. Quantitative Ecology & Resource Management, Box 352182, University of Washington, Seattle, WA 98195-2182, USA |
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Abstract: | 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 non-autonomous 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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