[1] | Delfim F. M. Torres, Aquisição Directa, Processamento Computorizado e Tridimensionalização de Imagens da Área Avascular Central (AAC) da Retina Humana (with E. Rocha), B.Sc. Diploma thesis (supervisor: Prof. H. J. Araújo), Faculty of Science and Technology of the University of Coimbra and Institute of Biomedical Research on Light and Image, Portugal, July 1994 (JNICT Reference: Po 435.03.01; fellowship: FMRH/BJI/1480/93). |
[2] | Delfim F. M. Torres, Quantitative Assessment of Retinal Structures and Lesions (with L. Ribeiro, E. Rocha, H. Araújo and J. Cunha-Vaz), Proceedings of RecPad'95, Aveiro, Portugal, 1995, pp. 6.5.1-6.5.6. |
[3] | Delfim F. M. Torres, Regularidade Lipschitziana dos minimizantes no Cálculo das Variações e Controlo Óptimo, M.Sc. thesis (supervisor: Prof. A. V. Sarychev), Univ. of Aveiro, Portugal, December 1997. |
[4] | Delfim F. M. Torres, Lipschitzian Regularity of Minimizers in the Calculus of Variations and Optimal Control (with A. V. Sarychev), International Conference Dedicated to the 90th Anniversary of L.S. Pontryagin, Moscow, Russia, 31 August-6 September, 1998. Short Communications, Book of Abstracts, Moscow, 1998, pp. 189-191 |
[5] | Delfim F. M. Torres, Lipschitzian Regularity of Minimizers for Optimal Control Problems with Control-Affine Dynamics (with A. V. Sarychev). Prepublication: Cadernos de Matemática CM/I-39, Dep. Matemática, Univ. Aveiro, July 1998. Publication: Applied Mathematics and Optimization 41 (2000), no. 2, pp. 237-254. |
[6] | Delfim F. M. Torres, Introdução à Programação em Lógica. Prepublication: Cadernos de Matemática CM99/D-17, Dep. Matemática, Univ. Aveiro, September 1999. Publication: Universidade de Aveiro, Janeiro de 2000 (346 pp, ISBN 972-8021-93-3). |
[7] | Delfim F. M. Torres, Considerações sobre o LATEX2e (with A. B. Anjo), Gazeta de Matemática (138), Janeiro 2000, pp. 59-66. |
[8] | Delfim F. M. Torres, Lipschitzian Regularity Conditions for the Minimizing Trajectories of Optimal Control Problems (with A. V. Sarychev), Nonlinear Analysis and its Applications to Differential Equations, M. R. Grossinho, M. Ramos, C. Rebelo, L. Sanchez, eds., Progress in Nonlinear Differential Equations and Their Applications 43, Birkhauser Boston, 2001, pp. 357-368. |
[9] | Delfim F. M. Torres, O Computador Matemático de Post. Prepublication: Cadernos de Matemática CM01/D01, Dep. Matemática, Univ. Aveiro, January 2001. Publication: Boletim da Sociedade Portuguesa de Matemática, Nº 46, April 2002, pp. 81-94. |
[10] | Delfim F. M. Torres, Matemática na Internet com o LATEX, Gazeta de Matemática (140), Janeiro 2001, pp. 42-46. |
[11] | Delfim F. M. Torres, Conservation Laws in Optimal Control. Prepublication: Cadernos de Matemática CM01/I-06, Dep. Matemática, Univ. Aveiro, April 2001. Publication: Dynamics, Bifurcations and Control, F. Colonius, L. Grüne, eds., Lecture Notes in Control and Information Sciences 273, Springer-Verlag, Berlin, Heidelberg, 2002, pp. 287-296. |
[12] | Delfim F. M. Torres, On the Noether Theorem for Optimal Control. European Journal of Control (EJC), Vol. 8, Issue 1 2002, pp. 56-63. |
[13] | Delfim F. M. Torres, A Remarkable Property of the Dynamic Optimization Extremals. Prepublication: Research report (Cadernos de Matemática) CM01/I-14, Dep. Matemática, Univ. Aveiro, July 2001. Publication: Investigação Operacional, Vol. 22, Nr. 2, 2002, pp. 253-263. |
[14] | Delfim F. M. Torres, Regularity of Minimizers in Optimal Control. Prepublication: Research report (Cadernos de Matemática) CM01/I-16, Dep. Matemática, Univ. Aveiro, October 2001. Publication: Equadiff 10 CD ROM, Czechoslovak International Conference on Differential Equations and their Applications (Prague, Czech Repuplic, 2001), Masaryk University Publishing House, Brno 2002, pp. 397-412. |
[15] | Delfim F. M. Torres, Lipschitzian Regularity of the Minimizing Trajectories for Nonlinear Optimal Control Problems. Mathematics of Control, Signals, and Systems (MCSS), 16, 2003, pp. 158-174. [DOI: 10.1007/s00498-003-0132-x] |
[16] | Delfim F. M. Torres, Symbolic Numerical System, Cadernos de Matemática CM02/D01, Dep. Matemática, Univ. Aveiro, January 2002. MIUP'2001, 1st. Portuguese ACM Programming Contest. |
[17] | Delfim F. M. Torres, Conserved Quantities along the Pontryagin Extremals of Quasi-Invariant Optimal Control Problems. Prepublication: Research report (Cadernos de Matemática) CM02/I-01, Dep. Matemática, Univ. Aveiro, January 2002. Publication: Proceedings of the 10th Mediterranean Conference on Control and Automation-MED2002 (invited paper), Lisbon, Portugal, July 9-12, 2002. |
[18] | Delfim F. M. Torres, Matemática e Prolog, Cadernos de Matemática CM02/D-03, Dep. Matemática, Univ. Aveiro, February 2002. CeNPL's of 1998 (Univ. Aveiro), 1999 (Univ. Nova de Lisboa), 2000 (Univ. Minho) and 2001 (Univ. Beira Interior), National Contest on Logic Programming. |
[19] | Delfim F. M. Torres, On Optimal Control Problems which Admit an Infinite Continuous Group of Transformations. Prepublication: Cadernos de Matemática CM02/I-06, Dep. Matemática, Univ. Aveiro, March 2002. Publication: Proceedings of the 5th Portuguese Conference on Automatic Control-Controlo 2002, Aveiro, September 5-7, 2002, pp. 247-251. |
[20] | Delfim F. M. Torres, Quasi-Invariant Optimal Control Problems, Portugaliæ Mathematica, Vol. 61, Fasc. 1, 2004, pp. 97-114. |
[21] | Delfim F. M. Torres, Cavaleiro de Euler, Cadernos de Matemática CM02/D-04, Dep. Matemática, Univ. Aveiro, April 2002. National Contest on Logic Programming, CeNPL'02, DEI-FCTUC/DEIS-ISEC, Coimbra, April 11-13, 2002. |
[22] | Delfim F. M. Torres, Regularidade dos Minimizantes no Cálculo das Variações e Controlo Óptimo, Ph.D. thesis (supervisor: Prof. A. V. Sarychev), Univ. of Aveiro, Portugal, 2002. |
[23] | Delfim F. M. Torres, Carathéodory-Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control. Prepublication: Cadernos de Matemática CM02/I-16, Dep. Matemática, Univ. Aveiro, July 2002. Publication: Proceedings of the First Junior European Meeting on "Control Theory and Stabilization", U. Boscain and L. Faubourg, eds., Dijon, France, Octobre 2-4 2002. Laboratoire Analyse Appliquée et Optimisation, Département de Mathématiques, Université de Bourgogne, 2002, pp. 193-210. |
[24] | Delfim F. M. Torres, Entropy Text Analyser, Cadernos de Matemática CM03/D01, Dep. Matemática, Univ. Aveiro, January 2003. MIUP'2002, 2nd Portuguese ACM Programming Contest. |
[25] | Delfim F. M. Torres, Gauge Symmetries and Noether Currents in Optimal Control, Applied Mathematics E-Notes, Vol. 3, 2003, pp. 49-57 |
[26] | Delfim F. M. Torres, Integrals of Motion for Discrete-Time Optimal Control Problems. Prepublication: Cadernos de Matemática CM03/I-01, Dep. Matemática, Univ. Aveiro, January 2003. Preprint: Preprints of the International Federation of Automatic Control, Workshop on Control Applications of Optimization-CAO'2003, Visegrád, Hungary, 30 June-2 July 2003, pp. 44-49. Publication: CAO 2003 Proceedings. Editors: Bars & Gyurkovics, Control Applications of Optimisation, pp. 33-38, 2003 (ISBN: 0 08 044074 6) |
[27] | Delfim F. M. Torres, A Proper Extension of Noether's Symmetry Theorem for Nonsmooth Extremals of the Calculus of Variations. Prepublication: Cadernos de Matemática CM03/I-11, Dep. Matemática, Univ. Aveiro, February 2003. Preprint: Preprints of the International Federation of Automatic Control, 2nd Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (invited session on "Optimal Control"), Seville, Spain, April 3-5, 2003, pp. 225-228. Publication: Proceedings of the 2nd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control. Editors: Astolfi, Gordillo and van der Schaft, Lagrangian and Hamiltonian Methods for Nonlinear Control, 2003, pp. 195-198 (ISBN: 0 08 044278 1) |
[28] | Delfim F. M. Torres, Carathéodory-Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control. Journal of Mathematical Sciences, Volume 120, Issue 1, Mar 2004, pp. 1032-1050. |
[29] | Delfim F. M. Torres, On the Constancy of the Pontryagin Hamiltonian for Autonomous Problems. Prepublication: Cadernos de Matemática CM03/I-14, Dep. Matemática, Univ. Aveiro, March 2003. |
[30] | Delfim F. M. Torres, Números Felizes e Sucessões de Smarandache: Digressões com o Maple, 30/Abril/2003. Prepublication: Cadernos de Matemática CM03/D-02, Dep. Matemática, Univ. Aveiro, June 2003. Publication: Smarandache Notions Journal, Vol. 14, 2004, pp. 119-123. |
[31] | Delfim F. M. Torres, Autómatos Celulares, Cadernos de Matemática CM03/D-03, Dep. Matemática, Univ. Aveiro, June 2003. National Contest on Logic Programming, CeNPL'03, University of Évora, Évora, May 9-11, 2003. |
[32] | Delfim F. M. Torres, Proper Extensions of Noether's Symmetry Theorem for Nonsmooth Extremals of the Calculus of Variations. Communications on Pure and Applied Analysis, Vol. 3, No. 3, September 2004, pp. 491-500. |
[33] | Delfim F. M. Torres, The Role of Symmetry in the Regularity Properties of Optimal Controls, Proceedings of Institute of Mathematics of National Academy of Sciences of Ukraine, Vol. 50, Part 3, pp. 1488-1495, 2004. |
[34] | Delfim F. M. Torres, Smarandache Sequences: Explorations and Discoveries with a Computer Algebra System (with Paulo D. F. Gouveia). Prepublication: Cadernos de Matemática CM03/I-35, Dep. Matemática, Univ. Aveiro, December 2003. Publication: Smarandache Notions Journal, Vol. 14, 2004, pp. 5-22. |
[35] | Delfim F. M. Torres, Rational Neighbor, Cadernos de Matemática CM04/D-01, Dep. Matemática, Univ. Aveiro, January 2004. MIUP'2003, 3rd Portuguese Programming Contest. |
[36] | Delfim F. M. Torres, Optimal Control of Newton-Type Problems of Minimal Resistance (with Alexander Yu. Plakhov). Prepublication: Cadernos de Matemática CM04/I-01, Dep. Matemática, Univ. Aveiro, January 2004. Publication: Accepted on Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino, Special Issue "Control Theory and Stabilization". |
[37] | Delfim F. M. Torres, Generalized splines in $\mathbb{R}^n$ and optimal control (with Rui C. Rodrigues). Prepublication: Cadernos de Matemática CM04/I-04, Dep. Matemática, Univ. Aveiro, February 2004. Publication: Accepted to Rend. Sem. Mat. Univ. Pol. Torino. |
[38] | Delfim F. M. Torres, Two-dimensional problems of minimal resistance in a medium of positive temperature (with Alexander Yu. Plakhov). Prepublication: Cadernos de Matemática CM04/I-08, Dep. Matemática, Univ. Aveiro, 2004. Publication: Proceedings of the 6th Portuguese Conference on Automatic Control-Controlo 2004, Faro, Portugal, June 7-11, 2004, pp. 488-493. |
[39] | Delfim F. M. Torres, Symmetries and Conservation Laws in Optimal Control Systems, book in Georgian (co-author with A. Gugushvili, O. Khutsishvili, V. Sesadze, G. Dalakishvili, N. Mchedlishvili, T. Khutsishvili, and V. Kekenadze), Georgian Technical University, Tbilisi, 2003. (ISBN 99940-14-53-6) |
[40] | Delfim F. M. Torres, Números Felizes e Sucessões Associadas: Digressões com o Maple, Educação e Matemática nº77, Revista da Associação de Professores de Matemática, Março/Abril de 2004, pp. 35--38. |
[41] | Delfim F. M. Torres, O Jogo do 24-digressões com o Maple, Cadernos de Matemática CM04/D-03, Dep. Matemática, Univ. Aveiro, April, 2004. |
[42] | Delfim F. M. Torres, On the Noether Invariance Principle for Constrained Optimal Control Problems. Prepublication: Cadernos de Matemática CM04/I-12, Dep. Matemática, Univ. Aveiro, 2004. Proceedings: CD-ROM Proceedings of the 2004 WSEAS International Conference on APPLIED MATHEMATICS (ISBN: 968-8457--01-7), Paper 488-164 Publication: WSEAS Transactions on Mathematics, Issue 3, Volume 3, July 2004 (ISSN: 1109-2769), pp. 620--624. |
[43] | Delfim F. M. Torres, Consecutive, Reversed, Mirror, and Symmetric Smarandache Sequences of Triangular Numbers (with Viorica Teca). Prepublication: Cadernos de Matemática CM04/D-05, Dep. Matemática, Univ. Aveiro, June 2004. Publication: submitted to the Smarandache Notions Journal. |
[44] | Delfim F. M. Torres, Torneio Inter-Universitário de Programação, TIUP'2004-4ª etapa, Universidade de Aveiro (with L. Bajuelos, P. Cruz, T. Oliveira e Silva, E. Rocha, and J. Szymanski), Cadernos de Matemática CM04/D-06, Dep. Matemática, Univ. Aveiro, June 2004. |
[45] | First Control Training Site Workshop-Book of Abstracts, F. Silva Leite, M. Camarinha, M. Guerra, E. Rocha, D. Torres (eds.), Cadernos de Matemática CM04/D-07, Dep. Matemática, Univ. Aveiro, July 2004. |
[46] | Delfim F. M. Torres, Newton's aerodynamic problem in a medium consisting of moving particles (with Alexander Yu. Plakhov). Prepublication: Cadernos de Matemática CM04/I-22, Dep. Mathematics, Univ. Aveiro, September 2004. |
[47] | Delfim F. M. Torres, Computação Algébrica no Cálculo das Variações: determinação de simetrias e leis de conservação (with Paulo D. F. Gouveia). Prepublication: Cadernos de Matemática CM04/I-23, Dep. Mathematics, Univ. Aveiro, September 2004. |
[48] | Delfim F. M. Torres, Computação Matemática Elementar em Maxima (with Rita M. R. Pereira). Cadernos de Matemática CM05/D-02, Dep. Mathematics, Univ. Aveiro, January 2005. |
[49] | Delfim F. M. Torres, A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory. Prepublication: Cadernos de Matemática CM05/I-01, Dep. Mathematics, Univ. Aveiro, January 2005. Proceedings: To appear (paper ID: 131) in the Conference Proceedings of ICMSAO'05-First International Conference on Modeling, Simulation and Applied Optimization, February 1-3 2005, American University of Sharjah, United Arab Emirates, 2005. |