Email this article TRILINEAR NEIGHBORHOOD MODEL OF THE PROCESS OF FORMING THE TEMPERATURE OF HOT-ROLLED STRIP COILING
- Authors: Shmyirin A.M.1, Yartsev A.G.1, Pravilnikova V.V.1
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Affiliations:
- Lipetsk State Technical University
- Issue: Vol 21, No 2 (2016)
- Pages: 465-472
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/365087
- DOI: https://doi.org/10.20310/1810-0198-2016-21-2-465-472
- ID: 365087
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Abstract
The trilinear neighborhood model of the process of forming the temperature of hot-rolled strip coiling where the parameters are a state, control and information is considered. The purpose of the work is to find the values of the components of the model ensuring steady functioning of the system. The technique of defining the structure of the extrema is presented. The existence condition for extrema is received and checked on a concrete example. The suggestion about the area in which it is impossible to speak with definiteness about stability of the system is made. The hypothesis about a condition of the stable balance loss and of the transition of system to a new state is proposed.
About the authors
Anatoliy Mihaylovich Shmyirin
Lipetsk State Technical University
Email: amsh@lipetsk.ru
Doctor of Techniques, Professor, the Head of the Higher Mathematics Department Lipetsk, the Russian Federation
Aleksey Gennadevich Yartsev
Lipetsk State Technical University
Email: yartsevlekha@mail.ru
Master program student, Faculty of Physics and Technology Lipetsk, the Russian Federation
Valeriya Vladimirovna Pravilnikova
Lipetsk State Technical University
Email: pravilnik@mail.ru
Lecturer of the Higher Mathematics Department Lipetsk, the Russian Federation
References
Shmyrin A. M., Sedykh I. A Identification and Control Algorithms of Functioning for Neighborhood Systems Based on Petri Nets // Automation and Remote Control. 2010. V. 71. Issue 6. P. 1265-1274. Блюмин С.Л., Шмырин А.М., Шмырина О.А. Билинейные окрестностные системы: монография. Липецк: ЛГТУ, 2006. Коновалов Ю.В. Справочник прокатчика. Книга 1. Производство горячекатанных листов и полос. М.: Теплотехник, 2008. Mukhin U.A., Soloviev V.N., Makarov E.V. Improving of Low-Carbon Hot-Rolled Strips Production at the High Acceleration Rolling // New Technologies and Achievements in Metallurgy and Materials Engineering: a collective monograph. Czestochowa. 2012. P. 423-427. Гилмор Р. Прикладная теория катастроф: В 2-х книгах. Кн. 1. Пер. с англ. М.: Мир, 1984.
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