Kerimbay Nurzhan Nurbergenovich, candidate of technical sciences, professor, sub-department of space engineering and technology, Eurasian National University named after L. N. Gumilyov (010000, 2 Satpaeva street, Astana, Kazahstan), n.kerimbay@mail.ru
Ergaliev Dastan Syrymovich, candidate of technical sciences, associate professor, head of sub-department of space engineering and technology, Eurasian National University named after L. N. Gumilyov (010000, 2 Satpaeva street, Astana, Kazahstan), DES-67@yandex.kz
Nysanbaeva Akbota Bolatbekovna, master degree student, Eurasian National University named after L. N. Gumilyov (010000, 2 Satpaeva street, Astana, Kazahstan), nasanbaeva@mail.ru
Kerimbay Gul'zhan Nurzhanovna, master degree student, Eurasian National University named after L. N. Gumilyov (010000, 2 Satpaeva street, Astana, Kazahstan), k.gulzhan94@mail.ru
Sergazy Nursultan Nurgazievich, master degree student, Eurasian National University named after L. N. Gumilyov (010000, 2 Satpaeva street, Astana, Kazahstan), sergazi@mail.ru

004.896(075.8)

10.21685/2307-4205-2017-1-9

The present work is devoted to solving the problem of development of the technology of analysis of dynamic properties of multiply connected mechatronic systems (MMS) of high dimension. To do this, it is most promising to use methods for finding the roots of the characteristic equation of the system. Two key problems can be identified, from the solution of which the decision of the task of analyzing MMCs depends substantially. The first problem is related to the construction of the boundaries of the location (localization) of the roots of the characteristic equation of control systems. The second problem is devoted to the development of strategies for choosing initial approximations for a group of iterative methods for solving algebraic equations.

multiply connected mechatronic systems, automatic control systems, manipulation and transport robots, methods of root localization, the principle of computational solvability