Optimality necessary conditions for an optimal control problem on time scales

Qiu-Yan Ren; Jian-Ping Sun; Qiu-Yan Ren; Jian-Ping Sun

doi:10.3934/math.2021333

AIMS Mathematics

2021, Volume 6, Issue 6: 5639-5646. doi: 10.3934/math.2021333

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Research article

Optimality necessary conditions for an optimal control problem on time scales

Qiu-Yan Ren ¹,
Jian-Ping Sun ^{1,2
,
,}

1.
College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
2.
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China

Received: 29 December 2020 Accepted: 17 March 2021 Published: 24 March 2021
MSC : 49J21

An optimal control problem with quadratic cost functional on time scales is studied and some optimality necessary conditions are derived. The main tool used is the integration by parts on time scales.
- time scale,
- optimal control problem,
- optimality,
- necessary condition
Citation: Qiu-Yan Ren, Jian-Ping Sun. Optimality necessary conditions for an optimal control problem on time scales[J]. AIMS Mathematics, 2021, 6(6): 5639-5646. doi: 10.3934/math.2021333

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Abstract

An optimal control problem with quadratic cost functional on time scales is studied and some optimality necessary conditions are derived. The main tool used is the integration by parts on time scales.

References

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