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Information × Registration Number 0225U002848, (0120U101779) , R & D reports Title Development of new methods of hybrid modeling of nonlinear dynamic systems of non-integer order popup.stage_title Вдосконалення комплексу програм моделювання динамічних систем методом S-перетворення та продовження обчислювальних експериментів. Проведення патентно-кон'юнктурних досліджень. Підготовка заключного звіту Head Vasyliev Vsevolod V., Доктор технічних наук Registration Date 09-04-2025 Organization Pukhov Institute for Modelling in Energy Engineering National Academy of Sciences of Ukraine popup.description1 A purpose of this work is the development of new numerical-analytical methods of digital signal processing, new operational type methods of modeling dynamic systems , providing algebraization of integer-differential equations of integer, fractional and mixed orders of differential operators popup.description2  The research focuses on the development of a non-classical operational method for modeling dynamic systems described by integro-differential equations of integer and fractional orders. This method is applied to the processing of continuous and discretized signals and the parametric identification of dynamic systems. The operational method used in this work is based on the polynomial approximation of signals, which is interpreted as a non-classical type of operational calculus. Through practical examples, a comparative analysis of the functional characteristics of different dynamic system control models, circuit-technical solutions of PID controllers, and architectural solutions of control systems for typical dynamic systems is conducted. Methods for modeling operational-type dynamic systems are developed, which provide algebraization of integro-differential equations of whole, fractional, and mixed orders of differential operators, simplifying the algorithms for managing technical systems. Computational experiments are performed in the software environment of Mathematica® and Matlab®, and can easily be transferred to other computer algebra software environments. The processes of electronic implementation of such models based on analog (analog-digital, i.e.hybrid) electronic-computer systems have been tested. Product Description popup.authors Vasyliev Volodymyr V. Vasyliev Oleksii V. Hilhurt Serhii Ya. Davydenko Anatolii M. Nechyporenko Liudmyla O. Simak Liliia O. Svitlychna Tetiana V. Smyrska Nelli V. Tromsa Inna V. Tsvietkova Oleksandra V. popup.nrat_date 2025-04-09 Close