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Information × Registration Number 0223U002475, 0119U103350 , R & D reports Title The development of direct Lyapunov method based on nonlinear integral inequalities and its application to the problems of motion stability of aerospace systems popup.stage_title Head Martyniuk Anatolii A., Доктор фізико-математичних наук Registration Date 21-02-2023 Organization S.P. Tymoshenka Institute of Mechanics of the National Academy of Sciences of Ukraine popup.description2 A method of estimating the Lyapunov function for equations of perturbed motion with a fractional derivative of the state vector is proposed. New conditions of boundedness and Lagrange stability of motion for a class of quasilinear systems with a fractional derivative of the state vector have been established. For the system of Hopfield equations with a fractional derivative of the state vector, a new estimate for the Lyapunov functions at the solutions of the system is obtained.  Product Description popup.authors Ivanov Igor L. Babenko Serhii V. Holub Olena H. Martynyuk Anatoliy A. Rasshivalova Svitlana M. Talimonova Olha Yu. Khoroshun Anatolii S. Chernetska Larysa M. popup.nrat_date 2023-02-21 Close