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Computer algebra and problems of motion stability

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  • Banshchikov, Andrej
  • Bourlakova, Larissa

Abstract

The paper discusses algorithms for investigation of the stability of mechanical systems: (i) investigation of stability in the first approximation; (ii) Algorithms for constructing Lyapunov functions. A special attention is given to the cases critical in the Lyapunov sense; (iii) algorithms intended for application of theorems of Lyapunov’s second method to investigation of stability of complex mechanical systems which assume decomposition. As an example, a problem of the stability of an orbited satellite with an active gravitational stabilizer is considered.

Suggested Citation

  • Banshchikov, Andrej & Bourlakova, Larissa, 2001. "Computer algebra and problems of motion stability," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(3), pages 161-174.
    • Handle: RePEc:eee:matcom:v:57:y:2001:i:3:p:161-174
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    References listed on IDEAS

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    1. Steinberg, Stanly & Liska, Richard, 1996. "Stability analysis by quantifier elimination," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 629-638.
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