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A direct method to obtain a realization of a polynomial matrix and its applications

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A direct method to obtain a realization of a polynomial matrix and its applications

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dc.contributor.author Cantó Colomina, Rafael es_ES
dc.contributor.author Moll López, Santiago Emmanuel es_ES
dc.contributor.author Ricarte Benedito, Beatriz es_ES
dc.contributor.author Urbano Salvador, Ana María es_ES
dc.date.accessioned 2021-11-05T12:52:09Z
dc.date.available 2021-11-05T12:52:09Z
dc.date.issued 2020-02-13 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/176156
dc.description.abstract [EN] In this paper we present a Silverman-Ho algorithm-based method to obtain a realization of a polynomial matrix. This method provides the final formulation of a minimal realization directly from a full rank factorization of a specific given matrix. Also, some classical problems in control theory such as model reduction in singular systems or the positive realization problem in standard systems are solved with this method. es_ES
dc.description.sponsorship Work supported by the Spanish DGI grant MTM2017-85669-P-AR. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Full rank factorization es_ES
dc.subject Polynomial matrices es_ES
dc.subject Applied Mathematics es_ES
dc.subject Minimal realization es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A direct method to obtain a realization of a polynomial matrix and its applications es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-020-00819-1 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//MTM2017-85669-P-AR//PROBLEMAS MATRICIALES: COMPUTACION, TEORIA 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 Cantó Colomina, R.; Moll López, SE.; Ricarte Benedito, B.; Urbano Salvador, AM. (2020). A direct method to obtain a realization of a polynomial matrix and its applications. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 114(2):1-15. https://doi.org/10.1007/s13398-020-00819-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-020-00819-1 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 114 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\419644 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.description.references Anderson, B.D.O., Bongpanitlerd, S.: Network Analysis and Synthesis, A Modern Systems Theory Approach. Prentice-Hall Inc., New Jersey (1968) es_ES
dc.description.references Benvenuti, L., Farina, L.: A tutorial on the positive realization problem. IEEE Trans. Autom. Control 49(5), 651–664 (2004). https://doi.org/10.1109/TAC.2004.826715 es_ES
dc.description.references Bru, R., Coll, C., Sánchez, E.: Structural properties of positive linear time-invariant difference-algebraic equations. Linear Algebra Appl. 349, 1–10 (2002). https://doi.org/10.1016/S0024-3795(02)00277-X es_ES
dc.description.references Cantó, R., Ricarte, B., Urbano, A.M.: Positive realizations of transfer matrices with real poles. IEEE Trans. Circuits Syst. II Expr. Br. 54(6), 517–521 (2007). https://doi.org/10.1109/TCSII.2007.894408 es_ES
dc.description.references Cantó, R., Ricarte, B., Urbano, A.M.: On positivity of discrete-time singular systems and the realization problem. Lect. Notes Control Inf. Sci. 389, 251–258 (2009). https://doi.org/10.1007/978-3-642-02894-6_24 es_ES
dc.description.references Climent, J., Napp, D., Requena, V.: Block Toeplitz matrices for burst-correcting convolutional codes. RACSAM 114, 38 (2020). https://doi.org/10.1007/s13398-019-00744-y es_ES
dc.description.references Dai, L.: Singular Control Systems. Lecture Notes in Control and Information Sciences. Springer-Verlag, New York (1989) es_ES
dc.description.references Golub, G.H., Van Loan, C.F.: Matrix Computations, Fourth edn. Johns Hopkins University Press, Baltimore (2013) es_ES
dc.description.references Henrion, D., Šebek, M.: Polynomial and matrix fraction description. In: Control Systems, Robotics and Automation, vol. 7, pp. 211-231, (2009). http://www.eolss.net/Sample-Chapters/C18/E6-43-13-05.pdf es_ES
dc.description.references Ho, B.L., Kalman, R.E.: Effective construction of linear state-variable models from mput/output functions. Regelungstechnik 14(12), 545–548 (1966) es_ES
dc.description.references Kaczorek, T.: Weakly positive continuous-time linear systems. Lect. Notes Control Inf. Sci. 243, 3–16 (1999) es_ES
dc.description.references Kaczorek, T.: Positive 1D and 2D Systems, vol. 431. Springer, London (2002) es_ES
dc.description.references Kaczorek, T.: Externally and internally positive singular discrete-time linear systems. Int. J. Appl. Math. Comput. Sci. 12(2), 197–202 (2002) es_ES
dc.description.references MATLAB, The Math Works, Inc., Natick, Massachusetts, United States. Official website: http://www.mathworks.com es_ES
dc.description.references McCrory, C., Parusinski, A.: The weight filtration for real algebraic varieties II: classical homology. RACSAM 108, 63–94 (2014). https://doi.org/10.1007/s13398-012-0098-y es_ES
dc.description.references Silverman, L.: Realization of linear dynamical systems. IEEE Trans. Autom. Control 16(6), 554–567 (1971) es_ES
dc.description.references Virnik, E.: Stability analysis of positive descriptor systems. Linear Algebra Appl. 429(10), 2640–2659 (2008) es_ES


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