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Information × Registration Number 0222U001679, 0120U103404 , R & D reports Title Development of an integral method for analyzing motion stability of polynomial systems and equations of perturbed motion with a fractional derivative of the system state vector popup.stage_title Head Martyniuk Anatolii A., Доктор фізико-математичних наук Registration Date 31-01-2022 Organization Institute of Mechanics. S.P. Tymoshenko of the National Academy of Sciences of Ukraine popup.description2 In the report, the method of integral inequalities is used to obtain new norm variation boundaries for the solutions of the system of equations with a fraction-like derivative of the state vector. The obtained results are employed to study various types of q-boundedness and stability of motion (practical stability, stability with respect to the set of states). For the systems with a fraction-like derivative of the state vector, the conditions of HUR-stability of nonlinear systems are established as well as the conditions of q-boundedness of solutions to impulse systems. Product Description popup.authors Ivanov Igor L. Larin Volodymyr. Borysovich Lukyanova Tetyana O Martynyuk Anatolii Andriyovych Martynyuk-Cherniyenko Yuliya A. Rasshivalova Svitlana M Talimonova Olha Yu. Khoroshun Anatoliy Serhiyovych Cherniyenko Valerii O. Chernetska Larysa M. popup.nrat_date 2022-03-09 Close