Equivalence of the stability of discrete-time Markov jump linear systems
Descripción del Articulo
This paper investigates the stability of discrete-time Markov jump linear system of second-order, this type of system is similar to the family of discrete-time Markov jump linear system it is known in classical literature as MJLS. We present some consistent stability definitions for the system, wher...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Fecha de Publicación: | 2020 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | inglés |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/2784 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2784 |
| Nivel de acceso: | acceso abierto |
| Materia: | Stability discrete-time Markov jump linear system Markov chain |
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Equivalence of the stability of discrete-time Markov jump linear systemsMayta Guillermo, Jorge EnriqueMoreno Capristano, Maritza LourdesStabilitydiscrete-time Markov jump linear systemMarkov chainThis paper investigates the stability of discrete-time Markov jump linear system of second-order, this type of system is similar to the family of discrete-time Markov jump linear system it is known in classical literature as MJLS. We present some consistent stability definitions for the system, where these types of stability are equivalent as long as the state space Markov chain is finite. In addition, a computational test is presented to analyze the stability of the system. The result is a generalization of classical theory, this implies a contribution to the theory.National University of Trujillo - Academic Department of Mathematics2020-12-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2784Selecciones Matemáticas; Vol. 7 No. 02 (2020): August - December; 234-241Selecciones Matemáticas; Vol. 7 Núm. 02 (2020): Agosto-Diciembre; 234-241Selecciones Matemáticas; v. 7 n. 02 (2020): Agosto-Diciembre; 234-2412411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2784/3931Derechos de autor 2020 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/27842022-10-21T18:50:04Z |
| dc.title.none.fl_str_mv |
Equivalence of the stability of discrete-time Markov jump linear systems |
| title |
Equivalence of the stability of discrete-time Markov jump linear systems |
| spellingShingle |
Equivalence of the stability of discrete-time Markov jump linear systems Mayta Guillermo, Jorge Enrique Stability discrete-time Markov jump linear system Markov chain |
| title_short |
Equivalence of the stability of discrete-time Markov jump linear systems |
| title_full |
Equivalence of the stability of discrete-time Markov jump linear systems |
| title_fullStr |
Equivalence of the stability of discrete-time Markov jump linear systems |
| title_full_unstemmed |
Equivalence of the stability of discrete-time Markov jump linear systems |
| title_sort |
Equivalence of the stability of discrete-time Markov jump linear systems |
| dc.creator.none.fl_str_mv |
Mayta Guillermo, Jorge Enrique Moreno Capristano, Maritza Lourdes |
| author |
Mayta Guillermo, Jorge Enrique |
| author_facet |
Mayta Guillermo, Jorge Enrique Moreno Capristano, Maritza Lourdes |
| author_role |
author |
| author2 |
Moreno Capristano, Maritza Lourdes |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Stability discrete-time Markov jump linear system Markov chain |
| topic |
Stability discrete-time Markov jump linear system Markov chain |
| description |
This paper investigates the stability of discrete-time Markov jump linear system of second-order, this type of system is similar to the family of discrete-time Markov jump linear system it is known in classical literature as MJLS. We present some consistent stability definitions for the system, where these types of stability are equivalent as long as the state space Markov chain is finite. In addition, a computational test is presented to analyze the stability of the system. The result is a generalization of classical theory, this implies a contribution to the theory. |
| publishDate |
2020 |
| dc.date.none.fl_str_mv |
2020-12-25 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2784 |
| url |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2784 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2784/3931 |
| dc.rights.none.fl_str_mv |
Derechos de autor 2020 Selecciones Matemáticas info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Derechos de autor 2020 Selecciones Matemáticas |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| dc.source.none.fl_str_mv |
Selecciones Matemáticas; Vol. 7 No. 02 (2020): August - December; 234-241 Selecciones Matemáticas; Vol. 7 Núm. 02 (2020): Agosto-Diciembre; 234-241 Selecciones Matemáticas; v. 7 n. 02 (2020): Agosto-Diciembre; 234-241 2411-1783 reponame:Revistas - Universidad Nacional de Trujillo instname:Universidad Nacional de Trujillo instacron:UNITRU |
| instname_str |
Universidad Nacional de Trujillo |
| instacron_str |
UNITRU |
| institution |
UNITRU |
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Revistas - Universidad Nacional de Trujillo |
| collection |
Revistas - Universidad Nacional de Trujillo |
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1845886944736706560 |
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13.376803 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
