Actual directions of scientific researches of the XXI century: theory and practice Actual directions of scientific researches of the XXI century: theory and practice Актуальные направления научных исследований XXI века: теория и практика 2308-8877 3899 10.12737/6325 Секция: «Качественная теория динамических систем» Секция: «Качественная теория динамических систем» The control of the object’s motion with the existense of control points The control of the object’s motion with the existense of control points Ле Хай Чунг Le Khay Чунг Зубова С. П. Zubova S. П. spzubova@mail.ru Раецкая Е. В. Raetskaya E. В. raetskaya@inbox.ru 11 11 2014 11 11 2014 2 5 14 16 https://naukaru.ru/en/nauka/article/3899/view

The motion of a particle in a gravitational field are studied. The equation Meshcherskiy reduced to the control system. The problem of control in the presence of the control points is solved. The components of the state and control functions in the form of a polynomial are constructed. The method of undetermined coefficients is used.

The motion of a particle in a gravitational field are studied. The equation Meshcherskiy reduced to the control system. The problem of control in the presence of the control points is solved. The components of the state and control functions in the form of a polynomial are constructed. The method of undetermined coefficients is used.

 dynamical system the complete controllability state function the control control points.

УДК 517.93 THE  CONTROL OF THE  OBJECT’S  MOTION WITH THE EXISTENSE OF CONTROL  POINTSУПРАВЛЕНИЕ ДВИЖЕНИЕМ ОБЪЕКТА ПРИ НАЛИЧИИ КОНТРОЛЬНЫХ ТОЧЕКЛе Хай Чунг, Университет , г.Дананг, Вьетнамtrungybvnvr@yahoo.comЗубова С.П.,  ФГБОУ ВПО «Воронежский государственный  универсистет», г. Воронеж, Россияspzubova@mail.ruРаецкая Е.В.ФГБОУ ВПО «Воронежская государственная  лесотехническая академия», г. Воронеж, Россия raetskaya@inbox.ruDOI: 10.12737/6325 Summary: Themotion of a particlein a gravitational field are studied. The equation Meshcherskiyreduced tothe control system. The problem ofcontrolin the presence ofthe control points is solved. The components of the state and control  functions in the formof a polynomial are constructed. The method of undetermined coefficients is used.Aннотация: Рассматривается процесс движения материальной точки в поле силы тяжести. Уравнение Мещерского преобразуется к системе управления. Решается задача управления при наличии контрольных точек. Методом неопределенных коэффициентов строится состояние и управление в полиномиальном виде.Keywords:dynamical system,  the complete controllability, state function, the control, control points. Ключевые слова: динамическая система, полная управляемость, функция состояния, управление, контрольные точки.

Krasovskii Н.Н. The theory of motion control. Science, p. 1968 - 476. Krasovskii N.N. The theory of motion control. Science, p. 1968 - 476. Elgert O.I. Control Systems Theory. Mc.Graw-Hill, New-York, 1967. Elgert O.I. Control Systems Theory. Mc.Graw-Hill, New-York, 1967. Zubova, S.P. On polinomial solutions of the linear stationary control system / S.P. Zubova, E.V. Raetskaya, L.H. Thung // "Automation and Remote Control". 2008. T. 69, № 11. P. 1852-1858. Zubova, S.P. On polinomial solutions of the linear stationary control system / S.P. Zubova, E.V. Raetskaya, L.H. Thung. "Automation and Remote Control". 2008. T. 69, № 11. P. 1852-1858. Zubova, S.P. Polynomial solution of linear stationary control systems with the existence of control points and restrictions on the control / S.P. Zubova, L.H. Thung // “Spectral and evolution problems”. Simferopol. 2008. Vol. 18. P. 71 -75. Zubova, S.P. Polynomial solution of linear stationary control systems with the existence of control points and restrictions on the control / S.P. Zubova, L.H. Thung. “Spectral and evolution problems”. Simferopol. 2008. Vol. 18. P. 71 -75.