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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Autor principal: Yulia Retno Sari
Formato: article
Lenguaje:EN
Publicado: Department of Mathematics, UIN Sunan Ampel Surabaya 2017
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Acceso en línea:https://doaj.org/article/0bfc74f3279846b08213847159e4f511
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Inverse Drazin; Discrete positive descriptor system; Non negative matrix; Nilpotent matrix; Achieved properties
Mathematics
QA1-939
spellingShingle 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
description 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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