“Optimal Control” department consists 9 research associates, 6 of them doctor of sciences, professor, including two corr.-member of ANAS.

In 2017, 2 books, 1 monograph, 25 papers (12 of them in Thompson Reuters journals) and 7 abstracts of the department collaborators were published.

The scientific research works were conducted in three directions.

I. Mathematical methods of optimal control.

II. Development of analytic-information system based on Soft Commuting technology supporting planning, synthesis and execution of decisions under uncertainty conditions.

III. History and methodology of mathematics.

WORK: “Necessary conditions for the optimality of problems in continuous and discrete systems”.
Authors: Prof. Misir J. Mardanov, Prof. Telman K. Melikov.
Optimal control of continuous processes described by delay control functions. In a result, renewed variant of transformation of variation space was introduced ad different type higher order conditions for optimality were obtained.

Work “Optimal control problem of moving sources for a parabolic type equation with nonlocal integral boundary condition”
Authors: Prof. Misir J. Mardanov, phil. doctor in math Rafig Teymurov
Optimal control of the motion of thermal sources in the systems described by different type equations (ordinary differential equation and parabolic type equation) was studied. The existence and uniqueness of such optimal control problems was proved, Frechet differentiability of the cost functional was given, expressions for the gradient respect to control parameters were obtained, necessary conditions for optimality in the form of pointed and maximum principle was obtained, solution algorithms for numerical solution of problems were structured.

Work: “Elaboration of numerical methods of inverse of optimization problems for distributed parameter systems”.
Authors: Carr. mem. ANAS Kamil Ayda-zadeh
Synthesis of control effects in distributed parameter systems was studied on an example of boundary control and heating process of a bar. The inverse relation in performed by the measuring values of the state of the process at inner points and these values are used in formation of control. The statement of the synthesis problem was offered. Necessary formulas for solving the problem by means of first order numerical optimization methods were obtained.

More details>>

©All rights are reserved. Citing to www.imm.az is necessary upon using news.