Optimal control in systems with distributed parameters of hyperbolic type

1993 ◽  
Vol 65 (2) ◽  
pp. 1544-1550
Author(s):  
Yu. S. Sklyarov
Author(s):  
O. S. Kharkov ◽  
Ya. I. Vedel ◽  
V. V. Semenov

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.


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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