Coefficients and functionals of sensitivity for multivariate systems described by difference-differential equations with several dead times

Тип публикации: статья из журнала

Год издания: 2001

Ключевые слова: Conjugate equation, Dead time, Difference-differential equation, Sensitivity coefficient, Sensitivity functional, Variational method, Algorithms, Difference equations, Integration, Integrodifferential equations, Lagrange multipliers, Mathematical models, Mathematical transformations, Nonlinear control systems, Partial differential equations, Variational techniques, Vectors, Dead times, Difference differential equations, Multivariate systems, Sensitivity coefficients, Sensitivity analysis

Аннотация: The variational method of calculation of sensitivity coefficients (components of vector gradient from the quality functional to constant parameters) and sensitivity functionals (connecting first variation of quality functions with variation of variable parameters) for many-dimensional non-linear dynamic systems, described by difference-differential equations with several dead times, is constructed. The method is based on use of Lagrange's multipliers. The dynamic conjugate equations for Lagrange's multipliers and effective algorithm of account of sensitivity coefficients and sensitivity functionals are obtained. The examples are reduced.

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Издание

Журнал: Advances in Modelling and Analysis A

Выпуск журнала: Vol. 38, Is. 3-4

Номера страниц: 21-40

Авторы

  • Rouban A. (Krasnoyarsk State Technical Univ.,Krasnoyarsk A.M.S.E. Center)

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