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Fractional vs. ordinary control systems: What does the fractional derivative provide?

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Fractional vs. ordinary control systems: What does the fractional derivative provide?

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dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Franceschi, Jonathan es_ES
dc.contributor.author Picó-Marco, Enric es_ES
dc.date.accessioned 2023-06-21T18:02:16Z
dc.date.available 2023-06-21T18:02:16Z
dc.date.issued 2022-08 es_ES
dc.identifier.uri http://hdl.handle.net/10251/194476
dc.description.abstract [EN] The concept of a fractional derivative is not at all intuitive, starting with not having a clear geometrical interpretation. Many different definitions have appeared, to the point that the need for order has arisen in the field. The diversity of potential applications is even more overwhelming. When modeling a problem, one must think carefully about what the introduction of fractional derivatives in the model can provide that was not already adequately covered by classical models with integer derivatives. In this work, we present some examples from control theory where we insist on the importance of the non-local character of fractional operators and their suitability for modeling non-local phenomena either in space (action at a distance) or time (memory effects). In contrast, when we encounter completely different nonlinear phenomena, the introduction of fractional derivatives does not provide better results or further insight. Of course, both phenomena can coexist and interact, as in the case of hysteresis, and then we would be dealing with fractional nonlinear models. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Fractional-order model es_ES
dc.subject Fractional systems es_ES
dc.subject Non-linear systems es_ES
dc.subject Complex systems es_ES
dc.subject Structural properties es_ES
dc.subject Identification for control process es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Fractional vs. ordinary control systems: What does the fractional derivative provide? es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math10152719 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.description.bibliographicCitation Conejero, JA.; Franceschi, J.; Picó-Marco, E. (2022). Fractional vs. ordinary control systems: What does the fractional derivative provide?. Mathematics. 10(15):1-18. https://doi.org/10.3390/math10152719 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math10152719 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 18 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 10 es_ES
dc.description.issue 15 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\490786 es_ES
dc.subject.ods 04.- Garantizar una educación de calidad inclusiva y equitativa, y promover las oportunidades de aprendizaje permanente para todos es_ES


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