Computer algebra and problems of motion stability

Andrej Banshchikov and Larissa Bourlakova

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 57, issue 3, 161-174

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.

Keywords: Lyapunov function; Potential systems; Gyroscopic forces; Second method of stability theory; Computer algebra (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:57:y:2001:i:3:p:161-174

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