Proceedings of the 2017 International Seminar on Artificial Intelligence, Networking and Information Technology (ANIT 2017)

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Several Notations of Gronwall Inequality of Vector Functions

Authors
D. Luo, Y. Liu, C. Wang
Corresponding Author
D. Luo
Available Online December 2017.
DOI
10.2991/anit-17.2018.1How to use a DOI?
Keywords
Gronwell-inequality,vector function inequality, Holder inequality, Minkoviski inequality, Maximum principle
Abstract

In this paper, we first consider tow inequalities of vector functions,then combine the vector function inequality with Gronwell' inequality to obtain another two vector function's inequalities. At last, using them to prove the maximum principle for one kind of optimal control problem.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2017 International Seminar on Artificial Intelligence, Networking and Information Technology (ANIT 2017)
Series
Advances in Intelligent Systems Research
Publication Date
December 2017
ISBN
10.2991/anit-17.2018.1
ISSN
1951-6851
DOI
10.2991/anit-17.2018.1How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - CONF
AU  - D. Luo
AU  - Y. Liu
AU  - C. Wang
PY  - 2017/12
DA  - 2017/12
TI  - Several Notations of Gronwall Inequality of Vector Functions
BT  - Proceedings of the 2017 International Seminar on Artificial Intelligence, Networking and Information Technology (ANIT 2017)
PB  - Atlantis Press
SP  - 1
EP  - 5
SN  - 1951-6851
UR  - https://doi.org/10.2991/anit-17.2018.1
DO  - 10.2991/anit-17.2018.1
ID  - Luo2017/12
ER  -