Sensitivity coefficients in the bolts' problem for multivariate dynamic systems described by integro-differential equations with dead time

Тип публикации: статья из журнала

Год издания: 2006

Ключевые слова: Conjugate equations, Delay time, Integro-differential equations, Sensitivity coefficient, Variational method, Integrodifferential equations, Lagrange multipliers, Problem solving, Variational techniques, Generalized quality functional, Dynamical systems

Аннотация: The variational method of calculation of sensitivity coefficients (components of vector gradient from the quality functional to constant parameters) for multivariate non-linear dynamic systems, described by Volterra's integro-differential equations of the second genus with delay time, by use of the generalized quality functional of a dynamic system (the Bolts problem) is developed. The presence of a discontinuity in an initial value of coordinates and association of initial, final instants and magnitude of delay from parameters is taken into account also. The base of calculation is the decision of corresponding integro-differential conjugate equations for Lagrange's multipliers in the opposite direction of time.

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Издание

Журнал: Advances in Modelling and Analysis A

Выпуск журнала: Vol. 43, Is. 1-2

Номера страниц: 15-30

Авторы

  • Rouban A.I. (Krasnoyarsk State Technical University, Krasnoyarsk A.M.S.E. Center, Post box 16773, Krasnoyarsk-74, 660074, Russian Federation)
  • Rouban A.I. (Krasnoyarsk State Technical University,Krasnoyarsk A.M.S.E. Center)

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