Synthesis of uniformly distributed optimal control with nonlinear optimization of oscillatory processes

Abstract

In the article the problem of synthesizing uniformly distributed optimal control for nonlinear optimization of oscillatory processes described by integro-differential partial differential equations with the Volterra integral operator was explored. The study was conducted according to the Bellman-Egorov scheme and an algorithm for constructing a uniformly distributed optimal control in the form of a functional from the state of the controlled process was developed. Sufficient conditions for the solvability of the synthesis problem in nonlinear optimization were established.

Keywords

• generalized solution
• Volterra operator, nonlinear optimization
• Bellman functional
• Frechet differential
• Bellman type equations
• synthesis of optimal control