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О Достаточных И Необходимых Условиях Асимптотической Устойчивости Нелинейных Динамических Систем

Author

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  • Жуков В. П.

    (Институт проблем управления им. В. А. Трапезникова)

Abstract

Получены новые достаточные и необходимые условия асимптотической устойчивости состояний равновесия автономных динамических объектов, описываемых системой нелинейных обыкновенных дифференциальных уравнений типа Коши произвольного порядка. Применение специального класса функций (вместо функций Ляпунова) позволило получить обращение теоремы об асимптотической устойчивости, имеющее ясный геометрический смысл и наглядность

Suggested Citation

  • Жуков В. П., 2005. "О Достаточных И Необходимых Условиях Асимптотической Устойчивости Нелинейных Динамических Систем," Проблемы управления, CyberLeninka;Общество с ограниченной ответственностью "СенСиДат-Контрол", issue 3, pages 2-9.
    • Handle: RePEc:scn:009530:14052896
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