cotg MR Papers
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Project's objectives:
To obtain new versions of Pontryagin s maximum principle covering classes of generalized controls; to give geometric characterizations of generalized extremals and accessible sets; to investigate singular optimal control problems; to obtain explicit formulas for the Chen logarithm and develop a formal control theory with applications to stabilizability and noncommutative symmetric functions; to obtain conditions for boundedness of optimal controls; to investigate the role of symmetry and conservation laws.
Extension of Noether s theorem of the calculus of variations to the wider class of Lipschitz functions, and obtain a corresponding formulation for higher-order variational problems; to obtain conserved quantities along all minimizers of the problems; to identify new and more general classes of well and bad behaved problems in the calculus of variations.
To study systems of rolling bodies by designing time-variant feedback stabilizers with possible application to robotic manipulators; to develop a computer algebra package for determining symmetries and conservation laws in the calculus of variations and optimal control; to prove convergence of digital arithmetic algorithms by using results on feedback stabilization; develop numerical and asymptotical methods to study nonlinear dynamical control systems with distributed and discrete parameters, decreasing the effect of vibrations.
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Members
Delfim F. M. Torres
Eugénio Rocha (until June 2007)
Manuel Guerra
Natália Martins
Olena V. Mul (until June 2007)
Moulay Rchid Sidi Ammi
Vítor Neves
Cristiana João Soares da Silva (PhD student)
Gastão Silves Ferreira Frederico(PhD student)
Paulo Duarte Ferreira Gouveia
Nuno Bastos (PhD student)
Ricardo Almeida
Rui A. C. Ferreira (PhD student)
Célia Teresa Ligeiro Mendes Pereira (MSc student)
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Scientific Reports
Research plans for 2003-2005 and cotg Final Report 2003 (Details)
cotg Final Report 2004 (Details)
cotg Final Report 2005 (Details)
cotg Final Report 2006 (Details)
cotg Report 2003-2006 (Details)
cotg Future Research for the period 2007-2010 (Details)
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Post-Docs
2004-2007 Olena Vladlenivna Mul
Associate Professor of Physics and Mathematics
Ternopil Academy of National Economy, Ukraine
Scientific Coordinator: Delfim F. M. Torres
Title of Project: Analysis of Vibrations in Nonlinear Dynamical Systems
Funding: FCT SFRH/BPD/14946/2004
Project for 2004-2005 (Details)
Final report 2004-2005 and Working plans for 2005-2006 (Details)
Final report 2005-2006 and Working plans for 2006-2007 (Details)
Final report 2007 (Details)
2005-2008 Rachid Sidi Ammi
Scientific Coordinator: Delfim F. M. Torres
Funding: FCT SFRH/BPD/20934/2004
Project for 2005-2006 (Details)
Final Report 2005-2006 and Working plans for 2006-2007 (Details)
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European Projects for PhD students
January-July 2005
Ilona Dzenite ( Doctoral student certificate)
PhD student at Riga Technical University, Latvia
Home Supervisor: Prof. Maximilian Ya. Antimirov
Scientific Coordinator (Host Supervisor): Delfim F. M. Torres
Title of Project: Impedance Change and the Calculus of Variations
Funding: Marie Curie Fellowship, CTS (Control Training Site)
Project for 2004-2005 (Details and Annex 3)
Final report 2005 (Details)
Project for 2005-2006 (Details)
March-July 2005
Elena Ligere
PhD student at Riga Technical University, Latvia
Home Supervisor: Prof. Maximilian Ya. Antimirov
Scientific Coordinator (Host Supervisor): Delfim F. M. Torres
Title of Project: Analytical solutions to some magnetohydrodynamical control problems on a flow of conducting fluid
Funding: Marie Curie Fellowship, CTS (Control Training Site)
Project Details
Final report 2005 (Details)
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Projects
Project "Application of Conservation Laws to Space Trajectography"
between the University of Aveiro and the University Paris XI, Actions Universitaires Intégrées Luso-Françaises
Project Details
Final Report (Details)
Cooperation with the Faculty of Computer Science of the Bialystok Technical University
Framework Agreement on Cooperation (Details)
Work plan for 2007-2008 (Details)
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PhD projects
Concluded with success in 2008
Paulo Duarte Ferreira Gouveia
Symbolic Computation in Static and Dynamic Optimization
Supervisor: Delfim F. M. Torres and Alexander Plakhov
Project Details (1 and 2)
Since 2005
Cristiana Silva
Optimal syntheses of nonlinear optimal control problems involving state constraints, and conjugate points
Supervisors: Delfim F. M. Torres and Emmanuel Trélat
Funding: FCT SFRH/BD/27272/2006
Project Details
Since 2005
Gastão Silves Ferreira Frederico
Supervisors: Delfim F. M. Torres
Funding: IPAD (Instituto Português de Apoio ao Desenvolvimento)
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MSc projects
Concluded with success in 2005
Cristiana Silva
MSc on Mathematics - Analysis and Geometry
Thesis: On the Calculus of Variations and Optimal Control Approaches to Newton's Problem of Minimal Resistance
Supervisor: Delfim F. M. Torres
Details
Concluded with success in 2006
Andreia M. F. Louro
MSc on Mathematics
Thesis: Computação Simbólica em Maple no Cálculo das Variações
Supervisor: Delfim F. M. Torres
Details
Concluded with success in 2006
Joana F. Costa
MSc on Mathematics
Thesis: Teorema de Noether do Cálculo das Variações e do Controlo Óptimo na Economia
Supervisor: Delfim F. M. Torres
Details
Since 2006 (in progress)
Célia Teresa Ligeiro Mendes Pereira
MSc on Mathematics
Thesis: Computação no Cálculo das Variações e Controlo Óptimo
Supervisor: Pedro Cruz and Delfim F. M. Torres
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