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