Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif
A positive discrete descriptor system has been widely used in modeling economics, engineering, chemistry and others. In this research, we studied the necessary conditions and sufficient conditions for a positive discrete descriptors system is achieved positive and controlled postively. In addition,...
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Department of Mathematics, UIN Sunan Ampel Surabaya
2017
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oai:doaj.org-article:0bfc74f3279846b08213847159e4f5112021-12-02T14:53:31ZKetercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif2527-31592527-316710.15642/mantik.2017.3.2.65-73https://doaj.org/article/0bfc74f3279846b08213847159e4f5112017-10-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/165https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167A positive discrete descriptor system has been widely used in modeling economics, engineering, chemistry and others. In this research, we studied the necessary conditions and sufficient conditions for a positive discrete descriptors system is achieved positive and controlled postively. In addition, it is also studied on sufficient terms and conditions which ensure that discrete systems are null controlled. By using linear algebraic method and Inverse Drazin, this research has proved several theorems for discrete descriptors system achieved positive, controlled positively and controlled null. In addition, examples are given as illustrations to reinforce the validity of the proven theorems.Yulia Retno SariDepartment of Mathematics, UIN Sunan Ampel SurabayaarticleInverse Drazin; Discrete positive descriptor system; Non negative matrix; Nilpotent matrix; Achieved propertiesMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 3, Iss 2, Pp 65-73 (2017) |
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Inverse Drazin; Discrete positive descriptor system; Non negative matrix; Nilpotent matrix; Achieved properties Mathematics QA1-939 |
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Inverse Drazin; Discrete positive descriptor system; Non negative matrix; Nilpotent matrix; Achieved properties Mathematics QA1-939 Yulia Retno Sari Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif |
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A positive discrete descriptor system has been widely used in modeling economics, engineering, chemistry and others. In this research, we studied the necessary conditions and sufficient conditions for a positive discrete descriptors system is achieved positive and controlled postively. In addition, it is also studied on sufficient terms and conditions which ensure that discrete systems are null controlled.
By using linear algebraic method and Inverse Drazin, this research has proved several theorems for discrete descriptors system achieved positive, controlled positively and controlled null. In addition, examples are given as illustrations to reinforce the validity of the proven theorems. |
format |
article |
author |
Yulia Retno Sari |
author_facet |
Yulia Retno Sari |
author_sort |
Yulia Retno Sari |
title |
Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif |
title_short |
Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif |
title_full |
Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif |
title_fullStr |
Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif |
title_full_unstemmed |
Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif |
title_sort |
ketercapaian dan keterkontrolan sistem deskriptor diskrit linier positif |
publisher |
Department of Mathematics, UIN Sunan Ampel Surabaya |
publishDate |
2017 |
url |
https://doaj.org/article/0bfc74f3279846b08213847159e4f511 |
work_keys_str_mv |
AT yuliaretnosari ketercapaiandanketerkontrolansistemdeskriptordiskritlinierpositif |
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1718389431711301632 |