What question did this study set out to answer?

The aim is to explore methods for simplifying certain optimal control problems to ease their solutions.

July 17, 2026Processes0 citationsOpen Access

Transformations of Optimal Process Control Problems That Simplify Their Solution

ATAnatoliy M. TsirlinProgram Systems Institute of RAS ABAlexander I. BalunovYaroslavl State Technical University

Key Points

The aim is to explore methods for simplifying certain optimal control problems to ease their solutions.
Reduces problem dimension by changing independent variables.
Applies Krotov’s transformation and converts state variables into controls.
Constructs external reachability sets and replaces differential equations with integral convolution equations.
Presented approaches demonstrate effective simplifications for various optimal control problems.
Examples illustrate practical applications of the transformative methods.
Improvements in solution efficiency are observed through the suggested transformations.

Abstract

This paper considers the possibilities of simplifying the solution of certain classes of optimal control problems. These include reducing the problem dimension by switching to a new independent variable, Krotov’s transformation and converting state variables into controls, constructing an external reachability set, switching to new state variables, replacing linear differential equations with an integral convolution equation, and others. Examples of applying the presented approaches to real-world problems are given.

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