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Guaranteed Control in Antiviral Drugs Therapy

Student: Zologina Anastasiya

Supervisor: Valery Afanasiev

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Control Systems and Data Processing in Engineering (Master)

Year of Graduation: 2016

Guaranteed Control in Antiviral Drugs Therapy by A.N. Zologina Abstract In this thesis, HIV mathematical model, which describe the dynamics of the human immune system affected by the HIV virus are studied. The main goal of this work is the synthesis of guaranteed control by means of feedback linearization method. During the time of development (working) several subjects are studied: existing mathematical models of the HIV virus, methods of guaranteed control for non-linear systems As result of development guaranteed control of the selected model using feedback linearization was build. The results of mathematical modeling, showing the effectiveness of this method. The result of this work may be useful for antiviral therapy of HIV-infected people. Supervisor: V.N. Afanasyev 2016

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