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Information × Registration Number 0215U003938, 0112U000241 , R & D reports Title Development of the methods of analysis dynamic behavior of nonlinear mechanical systems with complex types of trajertories and perturbations popup.stage_title Head Martynyuk Anatolii Andreevich, Registration Date 08-07-2015 Organization S.P.Timoshenko Institute of Mechanics popup.description2 A converse Lyapunov theorem is obtained for quasi-homogeneous differential perturbed motion equations and sufficient stability conditions are established for nonlinear systems of differential perturbed motion equations with impulse effect with respect to quasi-homogeneous approximation. New aggregation forms are proposed for large-scale impulsive systems. The comparison method is generalized for the sets of trajectories of mechanical systems with one degree of freedom and an attainability set area is proposed as an analogue of the Lyapunov function. Product Description popup.authors Іванов Ігор Львович Кравчук Станіслав Вікторович Лук'янова Тетяна Олександрівна Мартинок-Чернієнко Юлія Анатоліївна Мартинюк Анатолій Андрійович Нікітіна Неллі Володимирівна Расшивалова Світлана Миколаївна Слинько Віталій Іванович Хорошун Анатолій Сергійович Чернецька Лариса Миколаївна popup.nrat_date 2020-04-02 Close
R & D report
Head: Martynyuk Anatolii Andreevich. Development of the methods of analysis dynamic behavior of nonlinear mechanical systems with complex types of trajertories and perturbations. (popup.stage: ). S.P.Timoshenko Institute of Mechanics. № 0215U003938
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Updated: 2026-03-27