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Computer algebra and problems of motion stability

Авторы: Banshchikov A., Bourlakova L.

Журнал: Mathematics and Computers in Simulation

Том: 57

Номер: 3-5

Год: 2001

Отчётный год: 2001

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Аннотация: 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.

Индексируется WOS: 1

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