Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Elimhan N. Mahmudov"'
Publikováno v:
Archives of Control Sciences, Vol vol. 34, Iss No 2, Pp 271-300 (2024)
In this paper, we study the modern mathematical theory of the optimal control problem associated with the fractional Roesser model and described by Caputo partial derivatives, where the functional is given by the Riemann-Liouville fractional integral
Externí odkaz:
https://doaj.org/article/4e1993cebc0c484982d88d7151887fd6
Publikováno v:
Archives of Control Sciences, Vol vol. 33, Iss No 3 (2023)
In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. First we get the linearized maximum principle. Further, the concept of a quasi-singular control is introd
Externí odkaz:
https://doaj.org/article/26b7f76b612441f69b076ed3042f0f5e
Publikováno v:
Applicable Analysis. 102:1473-1489
This paper is devoted to the Mayer problem on the optimization of nonlinear inequalities containing higher-order derivatives. We formulate the conditions of optimality for discrete and differential...
Autor:
Elimhan N. Mahmudov
Publikováno v:
Journal of Optimization Theory and Applications. 192:36-55
The paper is devoted to Lagrange problem of optimal control theory with higher-order differential inclusions (HODI) and special boundary conditions. Optimality conditions are derived for HODIs, as well as for their discrete analogy. In this case, dis
Autor:
Elimhan N. Mahmudov
Publikováno v:
Applicable Analysis. 102:1161-1182
For the first time in this paper, the dual problem is constructed for the problem with generalized first order partial differential inclusions, the duality theorem is proved. For discrete problems,...
Autor:
Gülseren Çiçek, Elimhan N. Mahmudov
Publikováno v:
TURKISH JOURNAL OF MATHEMATICS. 45:2084-2102
Autor:
Elimhan N. Mahmudov
Publikováno v:
International Journal of Control. 95:2931-2942
The paper is devoted to the optimisation of parabolic differential inclusions (DFIs) in a bounded rectangular region. For this, a problem with a parabolic discrete inclusion is defined, which is th...
Autor:
Elimhan N. Mahmudov
Publikováno v:
Optimization Letters. 16:695-712
The paper is mainly devoted to the theory of duality of boundary value problems (BVPs) for differential inclusions of higher orders. For this, on the basis of the apparatus of locally conjugate mappings in the form of Euler–Lagrange-type inclusions
Publikováno v:
Bulletin of the Iranian Mathematical Society. 48:537-562
The present paper deals with the theory of duality for the Mayer problem given by second-order polyhedral discrete and differential inclusions. First, we formulate the conditions of optimality in the form of Euler–Lagrange type inclusions and trans
Publikováno v:
TURKISH JOURNAL OF MATHEMATICS. 45:244-263