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Publications

Preprints

  1. M. Barbero Liñán, H. Cendra, E. García-Toraño Andrés, D. Martín de Diego, The interplay between Dirac systems, Morse families and interconnection. Preprint 2017.

In journals

  1. M. Barbero Liñán, M. Farré Puiggalí, D. Martín de Diego, Inverse problem for Lagrangian systems on Lie algebroids and applications to reduction by symmetries. Monatsh. Math. 180 (2016), no. 4, 665-691.
  2. M. Barbero Liñán, M. Sigalotti. New high order sufficient conditions for configuration tracking. Automatica J. IFAC 62 (2015), 222-226.
  3. J. M. Pérez-Pardo, M. Barbero Liñán, A. Ibort. Boundary dynamics and topology change in quantum mechanics. Int. J. Geom. Methods Mod. Phys., Vol. 12, 156011(2015), 11 pages.
  4. M. Barbero Liñán, D. Iglesias Ponte, D. Martín de Diego, Morse families in optimal control problems. SIAM J. Control Optim. 53(1), 352-377, 2015.
  5. M. Barbero Liñán, B. Jakubczyk, Second order conditions for optimality and local controllability of discrete-time systems. SIAM J. Control Optim. 53 (1), 414-433, 2015.
  6. M. Barbero Liñán, M. Farré Puiggalí, D. Martín de Diego, Isotropic submanifolds and the inverse problem for mechanical constrained systems. J. Phys. A: Math. Theor. 48 (2015) 045210 (35pp).
  7. M. Barbero Liñán, M. C. Muñoz Lecanda, k-symplectic Pontryagin's Maximum Principle for some families of PDES. Calc. Var. Partial Differential Equations, Vol. 49(3-4), 2014, 1199-1221.
  8. M. Barbero Liñán, M. de León, D. Martín de Diego, Lagrangian submanifolds and the Hamilton-Jacobi equation. Monatsh. Math., Vol. 171(3), 2013, 269-290.
  9. M. Barbero Liñán, A. D. Lewis, Geometric interpretations of the symmetric product in affine differential geometry and applications, Int. J. Geom. Methods Mod. Phys., Vol. 9, 1250073(2012), 33 pages.
  10. M. Barbero Liñán, M. de León, J. C. Marrero, D. Martín de Diego, M. C. Muñoz Lecanda, Kinematic reduction and the Hamilton-Jacobi equation, J. Geom. Mech., Vol. 4(3), 2012, 207-237.
  11. M. Barbero Liñán, M.C. Muñoz Lecanda, Presymplectic high order maximum principle. Rev. R. Acad. Cien. Serie A. Mat., March 2012, Vol. 106(1), pp 97-110.
  12. M. Barbero Liñán, M. Sigalotti, High order sufficient conditions for configuration tracking of affine connection control systems, System Control Lett., Volume 59, Issue 8, August 2010, Pages 491-503.
  13. M. Barbero Liñán, M.C. Muñoz Lecanda, Strict abnormal extremals in nonholonomic and kinematic control systems, Special issue "Nonholonomic constraints in Mechanics and Optimal Control Theory" in Discrete Contin. Dyn. Syst. Ser. S, 3(1) (2010) 1-17.
  14. M. Barbero Liñán, M.C. Muñoz Lecanda, Constraint Algorithm for Extremals in Optimal Control Problems, Int. J. Geom. Methods Mod. Phys., Vol. 6(7), 2009, 1221-1233.
  15. M. Barbero Liñán, M.C. Muñoz Lecanda, Geometric approach to Pontryagin's Maximum Principle, Acta Appl. Math., Vol. 108(2)(2009), 429-485.
  16. M. Barbero Liñán, A. Echeverría Enríquez, D. Martín de Diego, M.C. Muñoz Lecanda, N. Román Roy, Unified formalism for non-autonomous mechanical systems, J. Math. Phys., Vol. 49(6) (2008) 062902-062916.
  17. M. Barbero Liñán, A. Echeverría Enríquez, D. Martín de Diego, M.C. Muñoz Lecanda, N. Román Roy, Skinner-Rusk Formalism for Optimal Control and Applications. J. Phys. A: Math. Theor. 40 (2007) 12071-12093.

Books (editor)

  1. M. Barbero Liñán, F. Barbero, D. Martín de Diego. Proceedings of XX International Fall Workshop on Geometry and Physics, August 31-September 3, 2011, Madrid, Spain. AIP Conference Proceedings, 2012. Volume 1460.

Proceedings

  1. M. Barbero Liñán, M. Sigalotti. Configuration Tracking for Mechanical Systems by Kinematic Reduction and Fast Oscillating Controls. Proceedings of the 54th IEEE Conference on Decision and Control, Osaka, Japan, December 15-18, 2015.
  2. M. Barbero Liñán, M. Delgado Téllez, D. Martín de Diego, A geometric framework for discrete Hamilton-Jacobi equation. Geometry and Physics: XX International Fall Workshop, AIP Conference Proceedings, 2012.
  3. M. Barbero Liñán, Characterization of accessibility for affine connection control systems at some points with nonzero velocity. Proceedings of the IEEE Conference on Decision and Control and European Control Conference, Orlando, Florida, USA, December 12-15, 2011, 6528-6533.
  4. M. Barbero Liñán, M. Sigalotti. Tracking problems: high order algorithms. Proceedings 8th IFAC Symposium on nonlinear control systems 2010.
  5. M. Barbero Liñán, D. Martín de Diego, M.C. Muñoz Lecanda, Lie algebroids and optimal control: abnormality. Geometry and Physics: XVII International Fall Workshop, F. Etayo, M. Fioravanti and R. Santamaría (eds.), AIP Conference Proceedings, Volume 1130, pp. 113-119, 2009.
  6. M. Barbero Liñán, M.C. Muñoz Lecanda, Optimal control problems for affine connection control systems: characterization of extremals. Geometry and Physics: XVI International Fall Workshop, R. L. Fernandes and R. Picken (eds.), AIP Conference Proceedings, Volume 1023, pp. 127-131, 2008.
  7. M. Barbero Liñán, A. Echeverría Enríquez, D. Martín de Diego, M.C. Muñoz Lecanda, N. Román Roy, Skinner-Rusk Formalism for Optimal Control, Proceedings of the XV International Workshop on Geometry and Physics, Puerto de la Cruz, Tenerife, Canary Islands, Spain. September 11-16, 2006. Publ. de la RSME, Vol. XX (2007).

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  		Last update: May 2017.