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Information × Registration Number 0214U001777, 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 23-05-2014 Organization S.P.Timoshenko Institute of Mechanics popup.description2 In terms of the method of linear matrix Lyapunov inequalities sufficient conditions are established for the interval stability of linear systems of differential equations with impulse effect. Besides, the problem on interval stability is reduced to the problem on consistency of a system of linear matrix inequalities and fulfillment of algebraic inequalities. For a set of perturbed motion equations generated by the interval values of the system parameters sufficient conditions of Lyapunov stability of zero solution are established by means of scalar and matrix Lyapunov functions. A case of strange vibrations occurrence in the model of earth dynamo is considered. Product Description popup.authors Іванов Ігор Львович 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