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On the stability of linear conservative gyroscopic systems - MaRDI portal

On the stability of linear conservative gyroscopic systems (Q793522)

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scientific article; zbMATH DE number 3856473
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On the stability of linear conservative gyroscopic systems
scientific article; zbMATH DE number 3856473

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    On the stability of linear conservative gyroscopic systems (English)
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    1983
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    A theorem is given which provides a simple stability criterion of linear dynamical systems with gyroscopic and conservative forces. The proof is based on transformation converting the original autonomous system into a nonautonomous system, and applying Lyapunov's direct method to the later. Two illustrative examples are provided.
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    transform from autonomous into nonautonomous
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    stability criterion
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    gyroscopic and conservative forces
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    Lyapunov's direct method
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    examples
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