Explicit solution of the time-optimal control problem for one nonlinear three-dimensional system
DOI:
https://doi.org/10.26565/2221-5646-2016-83-03Keywords:
control systems, time optimality, explicit solutionAbstract
The time-optimal control problem for the system $\dot x_1=u$, $\dot x_2=x_1$, $\dot x_3=x_1^3$ is considered. Explicit formulas for finding optimal controls are given. The explicit solution of the optimal synthesis problem is obtained.
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