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On switching properties of time optimal controls for linear ODEs

  • * Corresponding author: Huaiqiang Yu

    * Corresponding author: Huaiqiang Yu
This work was partially supported by the NNSF of China under grants 11601377, 11901432, 11971022
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  • In this paper, we present some properties of time optimal controls for linear ODEs with the ball-type control constraint. More precisely, given an optimal control, we build up an upper bound for the number of its switching points; show that it jumps from one direction to the reverse direction at each switching point; give its dynamic behaviour between two consecutive switching points; and study its switching directions.

    Mathematics Subject Classification: Primary: 93C15; Secondary: 49J15.


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