The Method of Differential Games in the Problem of Control of Uncertain Systems (on the Example of Biomedical Systems)

Student: Podolskaia Anastasiia

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

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

Year of Graduation: 2021

This study is devoted to the application of the theory of differential games in the problem of control of an uncertain system using the example of biomedical systems. As an object a model of the spread of HIV infection in the human body is taken, which is a system of nonlinear differential equations in the key of differential games. A linearized nonlinear differential equation by SDС and SDRE with state-dependent parameters and the use of a quadratic quality functional allow one to pass from the Hamilton-Jacobi-Bellman equation to a Riccati-type equation with state-dependent parameters in the synthesis of control. The construction of optimal control is carried out through the application of the theory of discrete control.

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