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http://hdl.handle.net/10773/4258
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Girejko, E. | pt |
dc.contributor.author | Malinowska, A.B. | pt |
dc.contributor.author | Torres, D.F.M. | pt |
dc.date.accessioned | 2011-11-04T14:36:04Z | - |
dc.date.issued | 2010 | - |
dc.identifier.isbn | 978-1-4244-5182-1 | - |
dc.identifier.uri | http://hdl.handle.net/10773/4258 | - |
dc.description | http://dx.doi.org/10.1109/CCDC.2010.5498972 | pt |
dc.description.abstract | In this work we propose a new and more general approach to the calculus of variations on time scales that allows to obtain, as particular cases, both delta and nabla results. More precisely, we pose the problem of minimizing or maximizing the composition of delta and nabla integrals with Lagrangians that involve directional derivatives. Unified Euler-Lagrange necessary optimality conditions, as well as sufficient conditions under appropriate convexity assumptions, are proved. We illustrate presented results with simple examples. ©2010 IEEE. | pt |
dc.description.sponsorship | CIDMA | pt |
dc.description.sponsorship | FCT | pt |
dc.description.sponsorship | FEDER/POCI 2010 | pt |
dc.description.sponsorship | SFRH/BPD/48439/2008 | pt |
dc.description.sponsorship | UTAustin/MAT/0057/2008 | pt |
dc.language.iso | eng | pt |
dc.publisher | IEEE | pt |
dc.relation.uri | http://www.scopus.com/inward/record.url?eid=2-s2.0-77955406570&partnerID=40&md5=413f141fb1790c858d1cc761384958d2 | - |
dc.rights | restrictedAccess | por |
dc.subject | Calculus of variations | pt |
dc.subject | Delta and nabla calculi | pt |
dc.subject | Directional derivatives | pt |
dc.subject | Euler-Lagrange equations | pt |
dc.subject | Time scales | pt |
dc.title | A unified approach to the calculus of variations on time scales | pt |
dc.type | conferenceObject | pt |
dc.peerreviewed | yes | pt |
ua.publicationstatus | published | pt |
ua.event.title | 22nd Chinese Control and Decison Conference (2010 CCDC) | pt |
ua.event.date | May 26-28, 2010 | pt |
ua.event.type | conference | pt |
degois.publication.firstPage | 595 | - |
degois.publication.lastPage | 600 | - |
degois.publication.title | 2010 Chinese Control and Decision Conference, CCDC 2010 | - |
dc.date.embargo | 10000-01-01 | - |
dc.relation.publisherversion | http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5498972 | * |
Appears in Collections: | DMat - Comunicações |
Files in This Item:
File | Description | Size | Format | |
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[173]China_2010CCDC_Girejko_Malinowska_Torres.pdf | 151.48 kB | Adobe PDF |
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