A Numerical Method of the Solution of Mixed Control Problems for Leontieff Type Systems

Authors

  • Alevtina Viktorovna Keller South Ural State University
  • Andrey Aleksandrovich Ebel South Ural State University

Keywords:

mixed control problem, Leontieff type system, numerical solution

Abstract

The article presents exact and approximate solutions of mixed control problems. A detailed algorithm for the numerical method of the solution of mixed control problems is presented, the convergence of approximate solutions to the exact one is proved. Methods of the theory of degenerate (semi) groups, of the optimal control theory are used. The importance of the introduced functional quality which enables to solve applied problems in economics and engineering is shown

Author Biographies

Alevtina Viktorovna Keller, South Ural State University

Dr. Sc. (Physics and Mathematics), Professor, Mathematical Modeling Department

Andrey Aleksandrovich Ebel, South Ural State University

Post-graduate Student, Mathematical Modeling Department

Published

2015-10-06

Issue

Section

Mathematics