- -

On the minus partial order in control systems

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

On the minus partial order in control systems

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Coll, Carmen es_ES
dc.contributor.author Herrero Debón, Alicia es_ES
dc.contributor.author Sánchez, Elena es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2021-02-06T04:33:21Z
dc.date.available 2021-02-06T04:33:21Z
dc.date.issued 2020-12-01 es_ES
dc.identifier.issn 0096-3003 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160818
dc.description.abstract [EN] In this paper, the minus matrix partial order is considered to introduce the concept of minus partial ordered control systems. The transmission of the reachability property under this binary relation is investigated. Furthermore, the analysis of compartmental systems leads us to consider block triangular matrices. Hence, the existence and computation of partially ordered matrices having a similar block structure are studied. These results are applied to compartmental systems to get, via feedback, related systems with the same block structure and ordered under the minus partial order. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economia, Industria y Competitividad of Spain (Red de Excelencia grant MTM2017-90682-REDT). The fourth author was partially supported by Universidad de Buenos Aires of Argentina (Proyecto EXP-UBA: 13.019/2017, 20020170100350BA). es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Applied Mathematics and Computation es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Generalized inverses es_ES
dc.subject Minus partial order es_ES
dc.subject Matrix equations es_ES
dc.subject Compartmental systems es_ES
dc.subject Reachability property es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the minus partial order in control systems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2020.125529 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UBA//20020170100350BA/ES/PROBLEMAS INVERSOS: TEORÍA Y APLICACIONES I/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UBA//13.019%2F2017/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Coll, C.; Herrero Debón, A.; Sánchez, E.; Thome, N. (2020). On the minus partial order in control systems. Applied Mathematics and Computation. 386:1-10. https://doi.org/10.1016/j.amc.2020.125529 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.amc.2020.125529 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 10 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 386 es_ES
dc.relation.pasarela S\414628 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder Universidad de Buenos Aires es_ES
dc.description.references Ackleh, A. S., & Zhang, P. (2009). Competitive Exclusion in a Discrete Stage-Structured Two Species Model. Mathematical Modelling of Natural Phenomena, 4(6), 156-175. doi:10.1051/mmnp/20094606 es_ES
dc.description.references Cantó, B., Coll, C., & Sánchez, E. (2013). Structured parametric epidemic models. International Journal of Computer Mathematics, 91(2), 188-197. doi:10.1080/00207160.2013.800864 es_ES
dc.description.references Carriegos, M. V., Diez-Machío, H., & García-Planas, M. I. (2006). On higher order linear systems: Reachability and feedback invariants. Linear Algebra and its Applications, 413(2-3), 285-296. doi:10.1016/j.laa.2005.10.016 es_ES
dc.description.references Cvetković-Ilić, D. S., Mosić, D., & Wei, Y. (2015). Partial orders on B(H). Linear Algebra and its Applications, 481, 115-130. doi:10.1016/j.laa.2015.04.025 es_ES
dc.description.references Dahl, G., Guterman, A., & Shteyner, P. (2018). Majorization for matrix classes. Linear Algebra and its Applications, 555, 201-221. doi:10.1016/j.laa.2018.06.003 es_ES
dc.description.references Hernández-Cerón, N., Feng, Z., & van den Driessche, P. (2013). Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions. Journal of Difference Equations and Applications, 19(10), 1671-1693. doi:10.1080/10236198.2013.772597 es_ES
dc.description.references Jacquez, J. A., & Simon, C. P. (1993). Qualitative Theory of Compartmental Systems. SIAM Review, 35(1), 43-79. doi:10.1137/1035003 es_ES
dc.description.references Mosić, D. (2016). Weighted binary relations for operators on Banach spaces. Aequationes mathematicae, 90(4), 787-798. doi:10.1007/s00010-016-0413-3 es_ES
dc.description.references Stuart, J. L. (1990). The partial order graph for a ZME-matrix. Linear Algebra and its Applications, 141, 123-152. doi:10.1016/0024-3795(90)90313-2 es_ES
dc.description.references Thome, N. (2016). Inequalities and equalities for ℓ = 2 (Sylvester), ℓ = 3 (Frobenius), and ℓ > 3 matrices. Aequationes mathematicae, 90(5), 951-960. doi:10.1007/s00010-016-0412-4 es_ES
dc.description.references Zhu, H., & Patrício, P. (2019). Several types of one-sided partial orders in rings. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113(4), 3177-3184. doi:10.1007/s13398-019-00685-6 es_ES
dc.description.references ZHU, H., CHEN, J., & PATRİCIO, P. (2016). The Moore--Penrose inverse of differences and products of projectors in a ring with involution. TURKISH JOURNAL OF MATHEMATICS, 40, 1316-1324. doi:10.3906/mat-1405-1 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem