Coefficients and functionals of sensitivity for continuous many-dimensional dynamic systems described by integral equations with delay time

Abstract

The variational method of calculation of sensitivity coefficients (components of vector gradient from quality function to constant parameters) and sensitivity functionals (connecting first variation of quality function with variations of variable parameters) for multivariate nonlinear dynamic systems, described by continuous Volterra integral equations of the second order with delay time, is developed. The basis of calculation is the decision of corresponding integral conjugate equations for Lagrange multipliers in reverse order (on time).