SOLVING OF LINEAR SPEED WITH FIXED BOUNDARY CONDITIONS IN DIFFERENTIAL TRANSFORMATION (GENERAL CASE)

Authors

  • S. O. Simonian State Engineering University of Armenia, Armenia
  • A. G. Avetisian State Engineering University of Armenia, Armenia
  • D. A. Kazarian State Engineering University of Armenia, Armenia

Keywords:

linear speed problems, fixed boundary conditions, multipoint boundary value problem, differential transformations.

Abstract

Linear speed problems with fixed boundary conditions and control influence vector (general case) are considered, for the solution of which Pukhov’s differential transformations serve as a main mathematical apparatus. The merits of the proposed approach with respect to a number of known methods are shown.

References

Симонян С.О. Прикладная теория оптимального управления. -Ереван: 2005.-180 с. (на армянском языке).

Брайсон А., Хо Ю-Ши. Прикладная теория оптимального управления.-М.: Мир, 1972.-554 с.

Понтрягин Л.С., Болтянский В.Г., Гамкрелидзе Р.В., Мищенко Е.Ф. Математическая теория оптимальных процессов. М.: Наука, 1983. - 392 с.

Симонян С.О. Основы синтеза специализированных вычислителей динамических задач нелинейного программирования : Автореф. дис. д.т.н. - Ереван, 1993. - 47 с.

Фельдбаум А.А. Основы теории оптимальных автоматических систем. М.: Наука, 1966. - 623 с.

Пухов Г.Е. Дифференциальные спектры и модели. -Киев: Наукова думка, 1990. - 184с.

Симонян С.О., Аветисян А.Г., Казарян Д.А. Метод решения задач оптимального управления, основанный на дифференциальных преобразованиях //Вестник ГИУА. Сер. “Моделирование, оптимизация, управление”. –2007. -Вып.10, том 2. - С.102-114.

Симонян С.О., Аветисян А.Г. Прямой метод решения линейных многоточечных крaевых задач // Известия НАН РА и ГИУА.Сер. ТН. -2002. -Т. LV, N 1. - С.95-103.

Симонян С.О., Аветисян А.Г., Казарян Д.А. Метод решения линейных многоточечных крaевых задач, основанный на дифференциально-дирихлеевских преобразованиях // Вестник ИАА.2007. -Т.2. -С 253-257 (на армянском языке).

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Published

2008-10-11

How to Cite

Simonian, S. O., Avetisian, A. G., & Kazarian, D. A. (2008). SOLVING OF LINEAR SPEED WITH FIXED BOUNDARY CONDITIONS IN DIFFERENTIAL TRANSFORMATION (GENERAL CASE). Radio Electronics, Computer Science, Control, (1). Retrieved from http://ric.zntu.edu.ua/article/view/23628

Issue

No. 1 (2009): Radio Electronics, Computer Science, Control

Section

Theory and methods of automatic control

License

Copyright (c) 2014 S. O. Simonian, A. G. Avetisian, D. A. Kazarian

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