Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems
The Drazin inverse of matrices is applied to the analysis of pointwise completeness and pointwise degeneracy of fractional descriptor linear continuous-time systems. It is shown that (i) descriptor linear continuous-time systems are pointwise complete if and only if the initial and final states belo...
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2020-06-01
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| Series: | International Journal of Applied Mathematics and Computer Science |
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| Online Access: | https://doi.org/10.34768/amcs-2020-0017 |
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doaj-89f8d216ca354df094041496d09d72542021-09-06T19:41:54ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922020-06-0130221922310.34768/amcs-2020-0017amcs-2020-0017Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systemsKaczorek Tadeusz0Ruszewski Andrzej1Faculty of Electrical Engineering, Białystok University of Technology, Wiejska 45D, 15-351Białystok, PolandFaculty of Electrical Engineering, Białystok University of Technology, Wiejska 45D, 15-351Białystok, PolandThe Drazin inverse of matrices is applied to the analysis of pointwise completeness and pointwise degeneracy of fractional descriptor linear continuous-time systems. It is shown that (i) descriptor linear continuous-time systems are pointwise complete if and only if the initial and final states belong to the same subspace, and (ii) fractional descriptor linear continuoustime systems are not pointwise degenerated in any nonzero direction for all nonzero initial conditions. The discussion is illustrated with examples of descriptor linear electrical circuits.https://doi.org/10.34768/amcs-2020-0017pointwise completenesspointwise degeneracyfractional systemsdescriptor systems |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kaczorek Tadeusz Ruszewski Andrzej |
| spellingShingle |
Kaczorek Tadeusz Ruszewski Andrzej Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems International Journal of Applied Mathematics and Computer Science pointwise completeness pointwise degeneracy fractional systems descriptor systems |
| author_facet |
Kaczorek Tadeusz Ruszewski Andrzej |
| author_sort |
Kaczorek Tadeusz |
| title |
Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems |
| title_short |
Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems |
| title_full |
Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems |
| title_fullStr |
Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems |
| title_full_unstemmed |
Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems |
| title_sort |
application of the drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems |
| publisher |
Sciendo |
| series |
International Journal of Applied Mathematics and Computer Science |
| issn |
2083-8492 |
| publishDate |
2020-06-01 |
| description |
The Drazin inverse of matrices is applied to the analysis of pointwise completeness and pointwise degeneracy of fractional descriptor linear continuous-time systems. It is shown that (i) descriptor linear continuous-time systems are pointwise complete if and only if the initial and final states belong to the same subspace, and (ii) fractional descriptor linear continuoustime systems are not pointwise degenerated in any nonzero direction for all nonzero initial conditions. The discussion is illustrated with examples of descriptor linear electrical circuits. |
| topic |
pointwise completeness pointwise degeneracy fractional systems descriptor systems |
| url |
https://doi.org/10.34768/amcs-2020-0017 |
| work_keys_str_mv |
AT kaczorektadeusz applicationofthedrazininversetotheanalysisofpointwisecompletenessandpointwisedegeneracyofdescriptorfractionallinearcontinuoustimesystems AT ruszewskiandrzej applicationofthedrazininversetotheanalysisofpointwisecompletenessandpointwisedegeneracyofdescriptorfractionallinearcontinuoustimesystems |
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1717765144474288128 |