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We also provide several examples to illustrate our construction.<\/jats:p>","DOI":"10.1142\/s0219887811005427","type":"journal-article","created":{"date-parts":[[2011,3,28]],"date-time":"2011-03-28T12:27:20Z","timestamp":1301315240000},"page":"835-851","source":"Crossref","is-referenced-by-count":5,"title":["SOME APPLICATIONS OF QUASI-VELOCITIES IN OPTIMAL CONTROL"],"prefix":"10.1142","volume":"08","author":[{"given":"L\u00cdGIA","family":"ABRUNHEIRO","sequence":"first","affiliation":[{"name":"ISCA \u2014 Universidade de Aveiro, Rua Associa\u00e7\u00e3o Humanit\u00e1ria dos Bombeiros de Aveiro, 3811-902 Aveiro, Portugal"}]},{"given":"MARGARIDA","family":"CAMARINHA","sequence":"additional","affiliation":[{"name":"Departamento de Matematica, Universidade de Coimbra, Largo D. Dinis, Apartado 3008, 3001-454 Coimbra, Portugal"}]},{"given":"JOS\u00c9 F.","family":"CARI\u00d1ENA","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica Te\u00f3rica, Universidad de Zaragoza, 50009 Zaragoza, Spain"}]},{"given":"JES\u00daS","family":"CLEMENTE-GALLARDO","sequence":"additional","affiliation":[{"name":"BIFI-Departamento de F\u00edsica Te\u00f3rica Edificio I + D, Campus R\u00edo Ebro, Universidad de Zaragoza, C\/Mariano Esquillor s\/n, 50018 Zaragoza, Spain"}]},{"given":"EDUARDO","family":"MART\u00cdNEZ","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain"}]},{"given":"PATRICIA","family":"SANTOS","sequence":"additional","affiliation":[{"name":"CMUC \u2014 Universidade de Coimbra and Instituto Superior de Engenharia de Coimbra, Rua Pedro Nunes \u2014 Quinta da Nora, 3030-199 Coimbra, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/b97376"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1080\/14689360802609344"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/40\/33\/008"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.geomphys.2006.08.001"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2007.12.004"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S0219887806001211"},{"key":"rf8","doi-asserted-by":"crossref","first-page":"213","DOI":"10.3934\/dcds.2009.24.213","volume":"24","author":"Cort\u00e9s J.","journal-title":"Discrete Contin. 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