The Impulse Analysis of the Regular Singular System via Kronecker Indices

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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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  -