Admissible controls and controllable sets for a linear time-varying ordinary differential equation

Lijuan Wang; Yashan Xu

doi:10.3934/mcrf.2018043

Article Contents

2018, Volume 8, Issue 3&4: 1001-1019. Doi: 10.3934/mcrf.2018043

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Admissible controls and controllable sets for a linear time-varying ordinary differential equation

Lijuan Wang^1, and
Yashan Xu^2, ,

1.
School of Mathematics and Statistics, Wuhan University, Wuhan, MO 430072, China
2.
School of Mathematical Sciences, Fudan University, KLMNS, Shanghai, MO 200433, China

* Corresponding author: Yashan Xu
* Corresponding author: Yashan Xu

Received: August 2017

Revised: June 2018

Published: September 2018

The first author is supported by the National Natural Science Foundation under grants 11771344 and 11371285; the second author is supported by the National Natural Science Foundation under grants 11471080 and 11631004

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Abstract

In this paper, for a time optimal control problem governed by a linear time-varying ordinary differential equation, we give a description to check whether the set of admissible controls is nonempty or not by finite times.

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Mathematics Subject Classification: Primary: 49J15, 93C15; Secondary: 93B05.

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References

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