Optimal control of some systems with distributed parameters

1979 ◽  
Vol 19 (5) ◽  
pp. 783-804
Author(s):  
A. S. Matveev ◽  
V. A. Yakubovich
Keyword(s):  
Optimal Control ◽  
Distributed Parameters ◽  
Systems With Distributed Parameters

scholarly journals METHODS FOR PROBLEMS OF VECTOR GENERALIZED OPTIMAL CONTROL OF SYSTEMS WITH DISTRIBUTED PARAMETERS

2020 ◽  
pp. 71-98
Author(s):  
O. S. Kharkov ◽  
Ya. I. Vedel ◽  
V. V. Semenov
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Necessary Conditions ◽  
Necessary Optimality Conditions ◽  
Quality Criterion ◽  
Control Problems ◽  
Convergence Of Algorithms ◽  
Distributed Parameters ◽  
Admissible Controls ◽  
Systems With Distributed Parameters

The paper develops the theory of existence and necessary optimality conditions for optimal control problems with a vector quality criterion for systems with distributed parameters and generalized impacts. The concept of $(K, e, \epsilon)$-approximate efficiency is investigated. Necessary conditions for $(K, e, \epsilon)$-approximate efficiency of admissible controls in the form of variational inclusions are proved. Methods for solving problems of vector optimization of linear distributed systems with generalized control are proposed. Convergence of algorithms with errors is proved.

scholarly journals NUMERICAL ALGORITHM OF COMPUTATIONAL EXPERIMENT OF THE APPLIED OPTIMAL CONTROL PROBLEM IN SYSTEMS WITH DISTRIBUTED PARAMETERS

2021 ◽  
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Computational Experiment ◽  
Elliptic Type ◽  
Optimum Control ◽  
Computing Experiment ◽  
Distributed Parameters ◽  
Differential Scheme ◽  
Systems With Distributed Parameters

Stages of computing experiment of the developed algorithm by means of the final and differential scheme for the solution of applied problems of optimum control of the processes described by the solutions of elliptic type are given n article.

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