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

Several Notations of Gronwall Inequality of Vector Functions

Authors
D. Luo, Y. Liu, C. Wang
Corresponding Author
D. Luo
Available Online December 2017.
DOI
https://doi.org/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.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

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  - 2017 International Seminar on Artificial Intelligence, Networking and Information Technology (ANIT 2017)
PB  - Atlantis Press
UR  - https://doi.org/10.2991/anit-17.2018.1
DO  - https://doi.org/10.2991/anit-17.2018.1
ID  - Luo2017/12
ER  -