Title of article
OPTIMAL CONTROL PROBLEM DESCRIBING BY THE CAUCHY PROBLEM FOR THE FIRST ORDER LINEAR HYPERBOLIC SYSTEM WITH TWO INDEPENDENT VARIABLES
Author/Authors
HASANOV, K.K. Baku State University - Institute of Applied Mathematics, Azerbaijan , TANRIVERDIYEV, T.S. Baku State University - Institute of Applied Mathematics, Azerbaijan
From page
100
To page
110
Abstract
In the paper optimal control problems are considered, describing by the Cauchy problem for the first order linear hyperbolic system with two independent variables and integral quadratic functional. The existence and uniqueness theorems of the optimal control are proved. Necessary and sufficient conditions of optimality are derived. Finding of the optimal control and minimum of the functional is reduced to the solution of the non-linear system of integro- differential equations.
Keywords
hyperbolic system , necessary and su±cient conditions , optimal control , integro , differential equation , Cauchy problem
Journal title
TWMS Journal of Pure and Applied Mathematics
Journal title
TWMS Journal of Pure and Applied Mathematics
Record number
2527645
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