Interconnection of stability in sense of Zhukovsky with another stability notions in topologic dynamic
- 1 д.ф.-м.н., вед. науч. сотрудник, Вычислительный центр им. А.А. Дородницына РАН
- 2 д.ф.-м.н., профессор, Московский государственный университет путей сообщения
Keywords:
nonlinear dynamical systemstability in the sense of Zhukovskystability in the sense of Lyapunovpseudoperiodical stabilityprolongational stabilitystability in the sense of Poisson
Abstract
The problem of stability in the sense of N.E. Zhukovsky for continious nonlinear dynamical system is considered in the paper. New conditions of stability in the sense of Zhukovsky are obtained by the aid of notion of pseudoperiodical stability. The interconnection of notion of stability in the sense of Zhukovsky with another stability notions of topological dynamics is characterized. Obtained stability conditions can be used in problems of stability and chaotic behavior of technical systems, in problems of safety of transport systems and in mathematical control theory.
How to cite
Дружинина О.В., Шестаков А.А. Взаимосвязь устойчивости по Жуковскому с понятиями устойчивости топологической динамики // Нелинейный мир. 2013. № 7. С. 459–467.
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