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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 517.929
Martsenyuk V.P., Andrushchak I.Ye., Gandzyuk N.M.

CONSTRUCTING EXPONENTIAL ESTIMATES FOR COMPARTMENTAL SYSTEMS WITH DISTRIBUTED DELAYS: AN APPROACH BASED ON THE HALE–LUNEL INEQUALITY

Abstract. The paper presents a method for constructing exponential estimates in a compartment system with distributed delays based on the Hale–Lunell inequality and its application. The practical significance of this study is illustrated by a pharmacokinetic model from anesthesiology.

Keywords: compartmental system, delay, stability.



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Марценюк Василий Петрович,
доктор техн. наук, профессор Тернопольского государственного медицинского университета им. И.Я. Горбачевского,
e-mail: marceniuk@yahoo.com.

Андрущак Игорь Евгеньевич,
кандидат техн. наук, доцент Луцкого национального технического университета,
e-mail: westa@land.ru

Гандзюк Надежда Михайловна,
ассистент Тернопольского государственного медицинского университета
им. И.Я. Горбачевского,
e-mail: nadiagan84@gmail.com.

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