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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Valeria Krasnobaeva
Design of Optimal and Suboptimal Strategies for Controlling the Information Spread
Applied Mathematics
(Bachelor’s programme)
2019
The paper studies properties of optimal controls for a problem of controlling information propagation. The problem is nonlinear in phase variables and linear in a control. It is shown that the optimal control takes the values 0 or 1 depending on the sign of the switching function. However, for some values of the parameters a singular solution, where the optimality conditions do not uniquely determine the control, is also possible. In this paper optimality conditions are obtained in analytical form. By virtue of the nonlinearity of the corresponding system of differential equations, the optimal solutions are found numerically. We use numerical results to determine how different parameters of the problem affect the optimal solution. It is shown that if a problem is defined over a sufficiently large time interval, then the optimal piecewise-constant control can be replaced with a constant one.

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