A necessary and sufficient condition for the stability of interval difference equation via interval Lyapunov equation

Página do item simplificado
dc.contributor.authorCampos, José Renato
dc.contributor.authorAssunção, Edvaldo [UNESP]
dc.contributor.authorSilva, Geraldo Nunes [UNESP]
dc.contributor.authorLodwick, Weldon Alexander
dc.contributor.authorLeal, Ulcilea Alves Severino
dc.contributor.institutionScience and Technology of São Paulo
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversity of Colorado
dc.contributor.institutionFederal University of Triângulo Mineiro
dc.date.accessioned2022-05-01T16:02:23Z
dc.date.available2022-05-01T16:02:23Z
dc.date.issued2022-01-01
dc.description.abstractInterval difference equations can be used for modeling biological, economic, or physical systems that, due to lack of information or measurement errors in the input data from real-world applications, contain uncertainties. These types of systems are usually called uncertain systems. The stability analysis of those systems is of particular interest among the various properties of the uncertain systems. In this paper, we propose a necessary and sufficient condition for the stability of linear interval difference equation using single-level constrained interval arithmetic. The interval Lyapunov matrix equation is developed coupled with the interval Sylvester criterion. The stability analysis of the interval difference equation proposed here, using constrained interval arithmetic, is, to a certain degree, similar to the case in crisp environment. This similarity is of great advantage for the treatment of systems with uncertainty. We illustrate the application of the stability theory developed here with a variety of examples.en
dc.description.affiliationArea of Sciences Federal Institute of Education Science and Technology of São Paulo, SP
dc.description.affiliationSchool of Engineering São Paulo State University (UNESP), SP
dc.description.affiliationInstitute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP), SP
dc.description.affiliationDepartment of Mathematical and Statistical Sciences University of Colorado
dc.description.affiliationDepartment of Mathematical Federal University of Triângulo Mineiro, MG
dc.description.affiliationUnespSchool of Engineering São Paulo State University (UNESP), SP
dc.description.affiliationUnespInstitute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP), SP
dc.identifierhttp://dx.doi.org/10.1007/s00500-022-06958-4
dc.identifier.citationSoft Computing.
dc.identifier.doi10.1007/s00500-022-06958-4
dc.identifier.issn1433-7479
dc.identifier.issn1432-7643
dc.identifier.scopus2-s2.0-85127281159
dc.identifier.urihttp://hdl.handle.net/11449/234331
dc.language.isoeng
dc.relation.ispartofSoft Computing
dc.sourceScopus
dc.subjectInterval difference equation
dc.subjectInterval Lyapunov equation
dc.subjectInterval stability
dc.subjectInterval Sylvester criterion
dc.subjectSingle-level constrained interval arithmetic
dc.titleA necessary and sufficient condition for the stability of interval difference equation via interval Lyapunov equationen
dc.typeArtigo
unesp.author.orcid0000-0002-6490-6464[1]

Arquivos

Coleções

Artigos - Engenharia Elétrica - FEIS
Artigos - Matemática Aplicada - IBILCE