GMC Network

This link contains papers and preprints of members of the network since 2005.

• D. Iglesias, J.C. Marrero, D. Martin de Diego, E. Martinez
  [FILE] Discrete Nonholonomic Lagrangian Systems on Lie Groupoids, Preprint (2007)
• D. Iglesias, J.C. Marrero, D. Martin de Diego, D. Sosa
  [FILE] A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids, Preprint (2007)
• Manuel de León, Juan Carlos Marrero, David Martin de Diego
  [FILE] Some applications of semi-discrete variational integrators to classical field theories, to appear in Qualitative Theory of Dynamics systems (2007)
• Juan Pablo Ortega, Joan-Andreu Lázaro-Cami
  [FILE] Reduction and reconstruction of symmetric stochastic differential equations
• M. Barbero-Liñan, A. Echeverria-Enriquez, D. Martin de Diego, M.C. Muñoz-Lecanda, N. Roman-Roy
  [FILE] Skinner-Rusk Unified Formalism for Optimal Control Systems and Applications
• Narciso Román-Roy, Modesto Salgado, Silvia Vilariño
  [FILE] Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory, Prepint 2007
• D. Iglesias, J.C. Marrero, D. Martin de Diego, E. Martinez, E. Padron
  [FILE] Reduction of symplectic Lie algebroids by a Lie subalgebroid and a symmetry Lie group, to appear in SIGMA (2007)
• Joan-Andreu Lázaro-Camí, Juan-Pablo Ortega
  [FILE] Stochastic Hamiltonian dynamical systems, Preprint (2007)
• M. Castrillón, P.L. García, C. Rodrigo
  [FILE] Euler-Poincaré reduction in principal fibre bundles and the problem of Lagrange, preprint (2005)
• P.L. García, C. Rodrigo
  [FILE] Cartan forms and second variation for constrained variational problems, Procceedings of the 7th Internacional Conference on Geometry, Integrability and Quantization (to appear, 2006)
• A. García, P.L. García, C. Rodrigo
  [FILE] Cartan forms for first order constrained variational problems, Journal of Geometry and Physics 56(4) (2006) 571-610
• David Martín de Diego
  [FILE] Buscando lo óptimo, Matematicalia vol. 1, 1 (2005); Mateposter de Matematicalia [PDF]
• José F. Cariñena, M. F. Rañada and M. Santander
  [FILE] A Quantum Exactly Solvable Nonlinear Oscillator with quasi-Harmonic Behaviour, Preprint 2006
• José F. Cariñena, Manuel F. Rañada y Mariano Santander
  [FILE] Central potentials on spaces of constant curvature: The Kepler problem on the twodimensional sphere S2 and the hyperbolic plane H2, J. Math. Phys. 46 (2005) 052702
• José F. Cariñena, ManuelF. Rañada y Mariano Santander
  [FILE] Lagrangian formalism for nonlinear second-order Riccati systems: one-dimensional integrability and two-dimensional superintegrability,J. Math. Phys. 46 (2005)
• J. Fernández Núñez, W. García Fuertes, A. M. PerelomovSalgado
  [FILE] Explicit computations of low lying eigenfunctions for the quamtum trigonometric Calogero-Sutherland model related to the exceptional algebra E7 (2006)
• J. Fernández-Núñez, W. García Fuertes, A. M. Perelomov
  [FILE] Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsh-Gordan series for the exceptional algebra E7.J. Math. Phys. 46 (2005) 103505-1-27
• J. Fernández-Núñez, W. García Fuertes, A. M. Perelomov:
  [FILE] Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra E6. J. MATH. PHYS. 46 (2005) 073508-1-22
• J. Fernández-Núñez, W. García Fuertes, A. M. Perelomov
  [FILE] Irreducible characters and Clebsch-Gordan series for the exceptional algebra E6: an approach through the quantum Calogero-Sutherland model, J. NONLINEAR MATH. PHYS. 12, Suppl.1 (2005) 280-30
• J.F. Cariñena, X. Gracia, G. Marmo, E. Martinez, M. Munoz-Lecanda, N.Roman-Roy
  [FILE] Geometric Hamilton-Jacobi Theory, Preprint (2006)
• Sonia Martínez
  [FILE] Acercándonos a la robótica: algunas aplicaciones y el diseño de robots con patas, Matematicalia Vol 2, nº1 (Febr. 2006) (see also "Yo robot" matposters of Matematicalia)
• Eduardo Martínez
  [FILE] Variational Calculus on Lie algebroids, Preprints 2006
• M.C. Muñoz-Lecanda, J. Yániz-Fernández
  [FILE] Control and Kinematic Systems, IEEE Transactions on Automatic control VOL. X, NO. X, X X, (2006)
• Sara Susca, Sonia Martínez and Francesco Bullo
  [FILE]
  Distributed algorithms for polygonal approximation of convex contours, Proceedings of the 45th IEEE Conf. Decision and Control, San Diego, submitted 2005
• Sonia Martínez, F. Bullo, J. Cortés and E. Frazzoli
  [FILE]
  On synchronous robotic networks Part I: Models, tasks and complexity notions, Preprint 2005
• Sonia Martínez, F. Bullo, J. Cortés and E. Frazzoli
  [FILE]
  On synchronous robotic networks Part II: Time Complexity of Rendezvous and deployment algorithms, Preprint 2005
• Sara Susca, Sonia Martínez and Francesco Bullo
  [FILE] ISS properties of discrete-time consensus systems, Proceedings of the 45th IEEE Conf. Decision and Control, San Diego, submitted.2005
• Sulema Aranda, Sonia Martínez and Francesco Bullo
  [FILE] On optimal sensor placement and motion coordination for target tracking, Proceedings of the IEEE Conference in Robotics and Automation, Barcelona, Spain, April 2005/
• Carles Batlle, Enric Fossas, Robert Griñó and Sonia Martínez
  [FILE] Generalized state-space averaging for port-controlled hamiltonian systems, Proceedings of the IFAC World Congress, Praga, Czech Republic,2005
• Sara Susca, Sonia Martínez and Francesco Bullo
  [FILE] Monitoring environmental boundaries with a robotic sensor network, American Control Conference 2006, to appear
• Sonia Martínez and Francesco Bullo
  [FILE] Optimal sensor placement and motion coordination for target tracking, Automatica, to appear (2006)
• Narciso Román-Roy
  [FILE] Some topics concerning the theory of singular dynamical systems
  Talk given at the International Workshop on GROUPS, GEOMETRYAND PHYSICS (in honour of the 60th birthday of Prof. J.F. Cariñena) at Zaragoza (Spain), December 9 and 10, 2005. Preprint 2006
• Ángel M. Rey, Narciso Román-Roy, Modesto Salgado
  [FILE]
  k-cosymplectic formalism in classical field theory: the Skinner--Rusk approach, Preprint 2006
• J. Cortés, M. de León, J.C. Marrero, E. Martínez
  [FILE] Nonholonomic Lagrangian systems on Lie algebroids,
  Preprint 2006
• Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez
  [FILE] Discrete Lagrangian and Hamiltonian Mechanics on Lie groupoids, to appear in Nonlinearity (2006)
• J. Cortés, S. Martínez, F. Bullo
  [FILE] Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions, IEEE Transactions on Automatic Control, to appear (2006)
• Sonia Martínez
  [FILE] Control Geométrico de Sistemas Mecánicos (Geometric Control of Mechanical Systems) La Gaceta de la Real Sociedad Matemática Española, preprint
• A. Ganguli, J. Cortés, F. Bullo
  [FILE] Distributed deployment of asynchronous guards in art galleries, Proceedings of the American Control Conference, Minneapolis, Minnesota, USA, 2006, submitted
• J. Cortés
  [FILE] Characterizing robust coordination algorithms via proximity graphs and set-valued maps, Proceedings of the American Control Conference, Minneapolis, Minnesota, USA, 2006.
• A. Echeverría-Enríquez, L.A. Ibort, M.C. Muñoz-Lecanda, N. Román-Roy
  [FILE] Invariant forms and automorphisms of a class of multisymplectic manifolds Preprint
• J. Cortés, A.M. Vinogradov
  [FILE] Hamiltonian theory of constrained impulsive motion, Preprint
• Sonia Martínez and Francesco Bullo
  [FILE] Optimal sensor placement and motion coordination for target tracking, preprint
• S. Martínez, J. Cortés, F. Bullo
  [FILE] Motion coordination with distributed information,
  IEEE Control Systems Magazine, preprint
• José F. Cariñena, Xavier Gràcia, Giuseppe Marmo, Eduardo Martínez, Miguel C. Muñoz-Lecanda and Narciso Román-Roy
  [FILE] A new geometrical setting for the Hamilton-Jacobi equation, Procs. of the XIV Fall Workshop on Geometry and Physics, Bilbao (Spain), 2004. Submitted
• N. Román-Roy
  [FILE] Multisymplectic Lagrangian and Hamiltonian formalisms of first-order field theories preprint
• Eduardo Martínez
  [FILE] Classical Field theory on Lie algebroids: multisymplectic formalism, Submitted
• A. Echeverría-Enríquez, M. de León, M.C. Muñoz-Lecanda, N. Román-Roy
  [FILE] Hamiltonian systems in multisymplectic field theories, Preprint
• S. Martínez, J. Cortés, F. Bullo
  [FILE] On robust rendezvous for mobile autonomous agents, IFAC World Congress, Praga, Czech Republic, 2005, to appear
• M.C.Muñoz-Lecanda, M. Salgado, S. Vilariño
  [FILE] Nonstandar connections in k-cosymplectic field theory, J. Math. Phys. 46 (2005), 122901.
• Joris Vankerschaver, Frans Cantrijn, Manuel de León, David Martín de Diego
  [FILE] Geometric aspects of nonholonomic field theories, to appear in Reports on Mathematical Physics (2005)
• Jorge Cortés, Manuel de León, Juan Carlos Marrero, David Martín de Diego and Eduardo Martínez
  [FILE]
  A survey of Lagrangian mechanics and control on Lie algebroids and groupoids, To appear in International Journal on Geometric Methods in Mathematical Physics
• José F. Cariñena, Joan-Andreu Lázaro-Camí and Eduardo Martínez
  [FILE] On second Noether's theorem and gauge symmetries in mechanics, International Journal on Geometric Methods in Mathematical Physics, Vol. 3 No.3 (2006) 471-487.
• M. de León, J. Marín-Solano, J.C. Marrero, M.C. Muñoz-Lecanda, N. Román-Roy
  [FILE] Pre-multisymplectic constraint algorithm for field theories, to appear in Int. J. Geom. Meth. Mod. Phys. (2005)
• J. Grabowski, D. Iglesias, J.C. Marrero, E. Padrón, P. Urbanski
  [FILE] Jacobi structures on affine bundle, to appear in Acta Math. Sinica (2005)
• J.C. Marrero, D. Sosa
  [FILE] Hamilton-Jacobi Equation on Lie Affgebroids, to appear in Int. J. Geom. Meth. Mod. Phys (2006)
• D. Iglesias, J.C. Marrero, E. Padrón, D. Sosa
  [FILE] Lagrangian submanifolds and dynamics on Lie affgebroids, to appear in Rep. Math Phys. (2006)
• Eduardo Martínez
  [FILE] Classical Field theory on Lie algebroids: variational aspects, Journal of Physics A.: Math. Gen. 38 (2005) 7141-7160
• Manuel de León, Juan Carlos Marrero and Eduardo Martínez
  [FILE] Lagrangian submanifolds and dynamics on Lie algebroids, J. of Physics A.: Math. Gen. (Topical Review) 38 (2005) R241-R308
• D. Iglesias, J.C. Marrero, E. Padrón, D. Sosa
  [FILE] Compatibility between Lie affgebroid and affine Jacobi structures on an affine bundle, Proceedings del XIII Fall Workshop on Geometry and Physics, Murcia Septiembre 20-22, 2004, Publ. de la RSME, Vol. 8 (2005), 227-232.
• J.C. Marrero, D. Sosa
  [FILE] Tulczyjew’s triple associated with a Lie affgebroid, Proceedings del XIII Fall Workshop on Geometry and Physics, Murcia Septiembre 20-22, 2004, Publ. de la RSME, Vol 8 (2005) 66-79.
• J. Cortés, A.J. van der Schaft, P.E. Crouch
  [FILE] Characterization of gradient control systems, SIAM Journal on Control and Optimization 44 (4) (2005), 1192-1214
• J. Cortés, F. Bullo
  [FILE] Coordination and geometric optimization via distributed dynamical systems, SIAM Journal on Control and Optimization 44 (5) (2005), 1543-1574
• A. Ganguli, J. Cortés, F. Bullo
  [FILE] Maximizing visibility in nonconvex polygons: nonsmooth analysis and gradient algorithm design, Proceedings of the American Control Conference, Portland, Oregon, USA, 2005, pp. 792-797
• A. Ganguli, J. Cortés, F. Bullo
  [FILE] Coordinated rendezvous for visually-guided agents in a nonconvex polygon, Proceedings of the 44th IEEE Int. Conf. Decision and Control, Seville, Spain, 2005, pp. 5686-5691
• J. Cortés
  [FILE] Achieving coordination tasks in finite time via nonsmooth gradient flows, Proceedings of the 44th IEEE Int. Conf. Decision and Control, Seville, Spain, 2005, pp. 6376-6381
• Angel M. Rey, N. Román-Roy, M. Salgado:
  [FILE] Gunther’s formalism (k-symplectic formalism) in classical field theories: Skinner-Rusk approach and the evolution operator. J. Math. Phys. 46(5) (2005)
• J. Cortés, S. Martínez, F. Bullo
  [FILE] Spatially-distributed coverage optimization and control with limited-range interactions, ESAIM: Control, Optimisation and Calculus of Variations 11 (4) (2005), 691-719
• J. Cortés, S. Martínez, F. Bullo:
  [FILE] Analysis and design tools for distributed motion coordination, Proceedings of the American Control Conference, Portland, Oregon, USA, 2005, pp. 1680-1685
• S. Martínez, F. Bullo, J. Cortés, E. Frazzoli:
  [FILE] On synchronous robotic networks - Part I: Models, tasks and complexity notions, Proceedings of the 44th IEEE Int. Conf. Decision and Control, Seville, Spain, 2005, pp. 2847-2852
• S. Martínez, F. Bullo, J. Cortés, E. Frazzoli
  [FILE] On synchronous robotic networks - Part II: Time complexity of rendezvous and deployment algorithms, Proceedings of the 44th IEEE Int. Conf. Decision and Control, Seville, Spain, 2005, pp. 8313-8318
• A. Ganguli, S. Susca, S. Martínez, F. Bullo, J. Cortés
  [FILE] On collective motion in sensor networks: sample problems and distributed algorithms, Proceedings of the 44th IEEE Int. Conf. Decision and Control, Seville, Spain, 2005, pp. 4239-4244
• X. Gràcia and R. Martín:
  [FILE] Regularity and symmetries of nonholonomic systems, J. Phys. A: Math. Gen. 38 (2005) 1071-1087
• X. Gràcia and R. Martín
  [FILE] Geometric aspects of time-dependent singular differential equations, Int. J. Geometric Methods in Mod. Phys. 2 (2005) 597-618