A.V. Pisarenko

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The article is devoted to the problem of finding time optimal control when it belongs to hypersphere, which accords to the value constrain. Solution of the problem made by the Pontryagin maximum principle, which leads to a system software management, and by the Cauchy-Schwarz inequality, which allows to obtain a closed loop system with feedbacks. The article provides examples of solving the problem and simulation of control systems in MATLAB / Simulink.