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Article

Метод расширенной линеаризации в задаче управления неопределенным нелинейным объектом.

In this paper, using the theory of differential games developed the algorithm of constructing guaranteed control for nonlinear systems. Through the transition from the nonlinear model to model the linear form with parameters that depend on the state, will move from finding solutions to equations of Hamilton-Jacobi-Bellman equation to the Riccati equation. Moreover, the appointment of the "worst settings" will make the matrix not depend on the state that will allow you to solve Riccati equation and to synthesize the required control. The example of construction controls for non-linear mathematical model of the human immune system in the presence of the HIV. Built management controls the supply of antiretroviral drugs to maintain healthy cells of the human immune system at the required level to maximize and facilitate the life of the patient.