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Volume 60 >>> № 6 NOVEMBER — DECEMBER 2024

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UDC 519.622.22

K.R. Aida-zade¹, V.M. Abdullayev²

¹ Institute of Control Systems of Ministry of Science and Education of Republic of Azerbaijan; Institute of Mathematics and Mechanics Ministry of Science and Education of Republic of Azerbaijan; Baku, Azerbaijan

kamil.aydazade@gmail.com

² Institute of Control Systems of Ministry of Science and Education of Republic of Azerbaijan; Azerbaijan State Oil and Industry University; Western Caspian University; Azerbaijan University of Architecture and Construction, Baku, Azerbaijan

vagif_ab@yahoo.com

APPROACH TO DETERMINING THE PARAMETERS OF A DYNAMIC SYSTEM
UNDER NONLOCAL HIGH-ORDER OVERDETERMINATION CONDITIONS

Abstract. We analyze the problem of identifying the constant parameters involved in the right-hand sides of a linear non-autonomous system of differential equations with first-order ordinary derivatives. The specificity of the problem is that additional conditions for identifying parameters, first, are non-local, and second, include derivatives of an unknown function. We examine the conditions for the existence and uniqueness of a solution to the problem and propose two different approaches to the numerical solution of the problem. The results of computer experiments are presented.

Keywords: dynamic system, parametric identification, loaded differential equation, conditions for the existence of a solution, computer experiments.

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UDC 519.622.22

APPROACH TO DETERMINING THE PARAMETERS OF A DYNAMIC SYSTEM UNDER NONLOCAL HIGH-ORDER OVERDETERMINATION CONDITIONS

REFERENCES

APPROACH TO DETERMINING THE PARAMETERS OF A DYNAMIC SYSTEM
UNDER NONLOCAL HIGH-ORDER OVERDETERMINATION CONDITIONS