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About Robust Stability of Dynamic Systems with Time Delays through Fixed Point Theory
dc.contributor.author | De la Sen Parte, Manuel | es |
dc.date.accessioned | 2010-12-09T14:41:29Z | es |
dc.date.accessioned | 2011-03-29T04:48:28Z | |
dc.date.available | 2010-12-09T14:41:29Z | es |
dc.date.available | 2011-03-29T04:48:28Z | |
dc.date.issued | 2008 | es |
dc.identifier.citation | Fixed Point Theory and Applications 2008 : (2008) // Article ID 480187 | es |
dc.identifier.issn | 1687-1820 | es |
dc.identifier.uri | http://hdl.handle.net/10810/2177 | es |
dc.description.abstract | This paper investigates the global asymptotic stability independent of the sizes of the delays of linear time-varying systems with internal point delays which possess a limiting equation via fixed point theory. The error equation between the solutions of the limiting equation and that of the current one is considered as a perturbation equation in the fixed-point and stability analyses. The existence of a unique fixed point which is later proved to be an asymptotically stable equilibrium point is investigated. The stability conditions are basically concerned with the matrix measure of the delay-free matrix of dynamics to be negative and to have a modulus larger than the contribution of the error dynamics with respect to the limiting one. Alternative conditions are obtained concerned with the matrix dynamics for zero delay to be negative and to have a modulus larger than an appropriate contributions of the error dynamics of the current dynamics with respect to the limiting one. Since global stability is guaranteed under some deviation of the current solution related to the limiting one, which is considered as nominal, the stability is robust against such errors for certain tolerance margins | es |
dc.description.sponsorship | Ministerio de Educación (DPI2006-00714); Gobierno Vasco (GIC07143-IT-269-07, SAIOTEK SPED06UN10, SPE07UN04) | es |
dc.language.iso | eng | es |
dc.publisher | Hindawi Publishing Corporation | es |
dc.relation | info:eu-repo/grantAgreement/MICINN/DPI2006-00714 | |
dc.rights | info:eu-repo/semantics/openAccess | es |
dc.subject | functional differential equations | es |
dc.subject | varying systems | es |
dc.subject | output spaces | es |
dc.subject | input space | es |
dc.subject | controllability | es |
dc.subject | compactness | es |
dc.subject | dispersion | es |
dc.title | About Robust Stability of Dynamic Systems with Time Delays through Fixed Point Theory | es |
dc.type | info:eu-repo/semantics/article | es |
dc.rights.holder | (c)2008, M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited | es |
dc.relation.publisherversion | http://dx.doi.org/10.1155/2008/480187 | |
dc.identifier.doi | 10.1155/2008/480187 | en |
dc.departamentoes | Electricidad y electrónica | es_ES |
dc.departamentoeu | Elektrizitatea eta elektronika | es_ES |
dc.subject.categoria | GEOMETRY AND TOPOLOGY | |
dc.subject.categoria | MATHEMATICS, APPLIED |