Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)

The Impulse Analysis of the Regular Singular System via Kronecker Indices

Authors
Zhenghong Jin, Qingling Zhang, Yi Zhang
Corresponding Author
Zhenghong Jin
Available Online May 2018.
DOI
10.2991/ammsa-18.2018.13How to use a DOI?
Keywords
impulses; regularity; the Kronecker indices
Abstract

This The problem of impulse analysis in the regular singular system is considered by using the Kronecker indices in this paper. Firstly, the singular system is divided into two cases: 1. The regular linear singular system. 2. The uniformly regular nonlinear singular system. Then, the two theorems that the singular is impulsive if and only if the Kronecker indices are more than one are given. Finally, two numerical simulations are carried out to show the consistency with theoretical analysis and illustrate the effectiveness of the algorithm.

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 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)
Series
Advances in Intelligent Systems Research
Publication Date
May 2018
ISBN
978-94-6252-529-0
ISSN
1951-6851
DOI
10.2991/ammsa-18.2018.13How 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

TY  - CONF
AU  - Zhenghong Jin
AU  - Qingling Zhang
AU  - Yi Zhang
PY  - 2018/05
DA  - 2018/05
TI  - The Impulse Analysis of the Regular Singular System via Kronecker Indices
BT  - Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)
PB  - Atlantis Press
SP  - 62
EP  - 67
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-18.2018.13
DO  - 10.2991/ammsa-18.2018.13
ID  - Jin2018/05
ER  -