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The sensitivity coefficients for dynamic systems described by difference equations with the distributed memory on phase coordinates and variable parameters A. I. Rouban

By: Rouban, Anatoly I, 1943-Material type: ArticleArticleContent type: Текст Media type: электронный Other title: Коэффициенты чувствительности для динамических систем, описываемых разностными уравнениями с распределенной памятью по фазовым координатам и переменным параметрам [Parallel title]Subject(s): вариационный метод | коэффициент чувствительности | разностные уравнения | сопряженные уравнения | Лагранжа множительGenre/Form: статьи в журналах Online resources: Click here to access online In: Вестник Томского государственного университета. Управление, вычислительная техника и информатика № 57. С. 95-100Abstract: The variational method of calculation of sensitivity coefficients connecting first variation of quality functional with variations of variable and constant parameters for multivariate non-linear dynamic systems described by difference equations with the distributed memory on phase coordinates and variable parameters is developed. Sensitivity coeffi-cients are components of sensitivity functional and they are before variations of variable and constant parameters. The base of calculation are the decision of object equations in the forward direction of discrete time and corresponding difference conjugate equations for Lagrange’s multipliers in the opposite direction of discrete time.
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The variational method of calculation of sensitivity coefficients connecting first variation of quality functional with variations of variable and constant parameters for multivariate non-linear dynamic systems described by difference equations with the distributed memory on phase coordinates and variable parameters is developed. Sensitivity coeffi-cients are components of sensitivity functional and they are before variations of variable and constant parameters. The base of calculation are the decision of object equations in the forward direction of discrete time and corresponding difference conjugate equations for Lagrange’s multipliers in the opposite direction of discrete time.

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