This paper presents a new way to justify the controllability of linear ordinary systems. This way is based on the maximum geometric multiplicity of eigenvalues for the coefficient matrix of the linear ordinary equation. This method is equivalent to other discrimination laws for controllability.
| Published in | Applied and Computational Mathematics (Volume 5, Issue 3) |
| DOI | 10.11648/j.acm.20160503.21 |
| Page(s) | 165-168 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2016. Published by Science Publishing Group |
Controllability, Ordinary Differential Equation, Geometric Multiplicity, Eigenvalues
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APA Style
Yuanyuan Zhang. (2016). The Application of Matrix in Control Theory. Applied and Computational Mathematics, 5(3), 165-168. https://doi.org/10.11648/j.acm.20160503.21
ACS Style
Yuanyuan Zhang. The Application of Matrix in Control Theory. Appl. Comput. Math. 2016, 5(3), 165-168. doi: 10.11648/j.acm.20160503.21
AMA Style
Yuanyuan Zhang. The Application of Matrix in Control Theory. Appl Comput Math. 2016;5(3):165-168. doi: 10.11648/j.acm.20160503.21
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Download@article{10.11648/j.acm.20160503.21,
author = {Yuanyuan Zhang},
title = {The Application of Matrix in Control Theory},
journal = {Applied and Computational Mathematics},
volume = {5},
number = {3},
pages = {165-168},
doi = {10.11648/j.acm.20160503.21},
url = {https://doi.org/10.11648/j.acm.20160503.21},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20160503.21},
abstract = {This paper presents a new way to justify the controllability of linear ordinary systems. This way is based on the maximum geometric multiplicity of eigenvalues for the coefficient matrix of the linear ordinary equation. This method is equivalent to other discrimination laws for controllability.},
year = {2016}
}
TY - JOUR T1 - The Application of Matrix in Control Theory AU - Yuanyuan Zhang Y1 - 2016/07/25 PY - 2016 N1 - https://doi.org/10.11648/j.acm.20160503.21 DO - 10.11648/j.acm.20160503.21 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 165 EP - 168 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20160503.21 AB - This paper presents a new way to justify the controllability of linear ordinary systems. This way is based on the maximum geometric multiplicity of eigenvalues for the coefficient matrix of the linear ordinary equation. This method is equivalent to other discrimination laws for controllability. VL - 5 IS - 3 ER -
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