Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2002

Ключевые слова: Conjugate equations, Dead time, Integral equations, Sensitivity coefficients, Sensitivity functionals, Variational method, Computation theory, Decision theory, Lagrange multipliers, Mathematical models, Sensitivity analysis, Vectors, Identification (control systems)

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 functionals with variations of variable parameters) for multivariate non-linear dynamic systems described by continuous vectorial Volterra's integral equations of the second genus with dead time is developed. The presence of a discontinuity in an initial value of coordinates and dependence the initial and final instants and magnitude of dead time from parameters are taken into account also. The base of calculation is the decision of corresponding integral conjugate equations for Lagrange's multipliers in the opposite direction of time.

Журнал: Advances in Modeling and Analysis C

Выпуск журнала: Vol. 57, Is. 3-4

Номера страниц: 15-34

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

• Scopus
• РИНЦ (eLIBRARY.RU)