{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T08:40:25Z","timestamp":1759653625976,"version":"build-2065373602"},"publisher-location":"400 Commonwealth Drive, Warrendale, PA, United States","reference-count":10,"publisher":"SAE International","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>&lt;div class=\"htmlview paragraph\"&gt;Chebyshev pseudospectral methods have been proven to deal efficiently with complex differential equation models with point-based boundary conditions. Due to the uncertainties underlying any dynamical model, we propose an extension of such methods to the case of differential inclusions problems with boundary conditions expressed as tolerance domains. This enables to deal with time optimal problems for which the initial and the terminal states are not given precisely but rather known to be specified tolerance domains. A numerical example based on a derivative-free minimization method is provided, which shows the soundness of the proposed approach.&lt;\/div&gt;<\/jats:p>","DOI":"10.4271\/2003-01-3044","type":"proceedings-article","created":{"date-parts":[[2010,8,13]],"date-time":"2010-08-13T11:29:23Z","timestamp":1281698963000},"source":"Crossref","is-referenced-by-count":0,"title":["Chebyshev Pseudospectral Trajectory Optimization of Differential Inclusion Models"],"prefix":"10.4271","volume":"1","author":[{"given":"K.","family":"Bousson","sequence":"first","affiliation":[{"name":"Department of Aerospace Sciences, University of Beira Interior"}]}],"member":"2796","published-online":{"date-parts":[[2003,9,8]]},"reference":[{"key":"ref0","doi-asserted-by":"crossref","unstructured":"Aubin   J. P. Cellina   A. \u201cDifferential Inclusions\u201d Springer-Verlag 1984","DOI":"10.1007\/978-3-642-69512-4"},{"key":"ref1","unstructured":"Bousson,   K. \u201cEfficient Global Optimization Based on Dynamic Canonical Descent\u201d Journal Systems Science Vol. 26 N\u00b0 4 2001 61 78"},{"key":"ref2","unstructured":"Boyd   J. P. \u201cChebyshev and Fourier Spectral Method\u201d 2nd Edition Dover Publications 1999"},{"key":"ref3","doi-asserted-by":"crossref","unstructured":"Clarke   F. H. Optimization and nonsmooth analysis Classics in Applied Mathematics Vol. 5 1990","DOI":"10.1137\/1.9781611971309"},{"key":"ref4","doi-asserted-by":"crossref","unstructured":"Elnagar   N. E. Kazemi   M. A. \u201cPseudospectral Chebyshev Optimal Control of Constrained Nonlinear Dynamical Systems\u201d Computational Optimization and Applications 11 195 217 1998","DOI":"10.1023\/A:1018694111831"},{"key":"ref5","doi-asserted-by":"crossref","unstructured":"Fahroo   F. Ross   M. \u201cDirect Trajectory Optimization by a Chebyshev Pseudospectral Method\u201d J. of Guidance, Control, and Dynamics 25 1 160 166 2002","DOI":"10.2514\/2.4862"},{"key":"ref6","doi-asserted-by":"crossref","unstructured":"Hull   D. G \u201cConversion of Optimal Control Problems into Parameter Optimization Problems\u201d J. of Guidance, Control, and Dynamics 20 1 57 60 1997","DOI":"10.2514\/2.4033"},{"key":"ref7","doi-asserted-by":"crossref","unstructured":"Poggio   T. Girosi   F. \u201cNetworks for Approximation and Learning\u201d Proceedings of the IEEE 78 9 September 1990","DOI":"10.1109\/5.58326"},{"key":"ref8","unstructured":"Powell   M. J. D. \u201cRadial Basis Functions for Multivariable Interpolation: A Review\u201d IMA Coference on Algorithms for the Approximation of Functions and Data\u201d RMCS, Shrivenham 1985"},{"key":"ref9","doi-asserted-by":"crossref","unstructured":"von Stryk   O. Bulirsch   R. \u201cDirect and Indirect Methods for Trajectory Optimization\u201d Annals of Operations Research 37 357 373 1992","DOI":"10.1007\/BF02071065"}],"event":{"name":"World Aviation Congress & Exposition","start":{"date-parts":[[2003,9,8]]},"number":"98950","location":"Montreal, Canada","acronym":"WAC"},"container-title":["SAE Technical Paper Series"],"original-title":[],"link":[{"URL":"https:\/\/saemobilus.sae.org\/downloads\/papers\/2003-01-3044\/Full%20Text%20PDF","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T08:03:16Z","timestamp":1759651396000},"score":1,"resource":{"primary":{"URL":"https:\/\/saemobilus.sae.org\/papers\/chebyshev-pseudospectral-trajectory-optimization-differential-inclusion-models-2003-01-3044"}},"subtitle":[],"proceedings-subject":"SAE Technical Paper Series","short-title":[],"issued":{"date-parts":[[2003,9,8]]},"references-count":10,"URL":"https:\/\/doi.org\/10.4271\/2003-01-3044","relation":{},"ISSN":["0148-7191","2688-3627"],"issn-type":[{"type":"print","value":"0148-7191"},{"type":"electronic","value":"2688-3627"}],"subject":[],"published":{"date-parts":[[2003,9,8]]},"article-number":"2003-01-3044"}}