Convergence of approximations for the tracking problem in nonlinear optimization

Abstract

In the paper the tracking problem in  non-linear optimization of oscillatory processes described by integro-differential equations involving a Fredholm integral operator was researched.  The study primarily focuses on the convergence of approximate solutions to the exact one. External and boundary effects are modeled as scalar functions of several variables with a nonlinear dependence on vector control influences. Special attention is devoted to examining the influence of the Fredholm integral operator on the convergence rate of approximate solutions. Sufficient conditions providing the convergence of approximate solutions of the nonlinear optimization problem to the exact solution are established.