Sensitivity analysis of one class functional differential equation

Author: Nino Bregvadze
Keywords: Sensitivity analysis, functional differential equation
Annotation:

Summary For the controlled functional differential equation with the one constant delay in the phase coordinates the analytic relation (sensitivity analysis ) is proved between solutions of the origin equation and the equation obtained by perturbation of the initial data. Under the initial data is assumed a collection of the delay parameter, the initial and control functions. The main part (the first variation) of the increment of solution is presented in the linear with respect to initial data, the effects of perturbation are revealed . The form of equation and initial conditions is established , which satisfies the first variation. The analytic form approximate solution of the perturbed equation is established . For illustration an example is considered.