Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction.

María Barbero-Liñán

María Barbero-Liñán Juan Carlos Marrero David Martín de Diego Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction. 2025 February abs/2502.14152 CoRR https://doi.org/10.48550/arXiv.2502.14152 db/journals/corr/corr2502.html#abs-2502-14152 streams/journals/corr

Alexandre Anahory Simoes María Barbero-Liñán Anthony M. Bloch Leonardo Colombo David Martín de Diego Retraction maps in optimal control of nonholonomic systems. 2025 April abs/2504.00808 CoRR https://doi.org/10.48550/arXiv.2504.00808 db/journals/corr/corr2504.html#abs-2504-00808 streams/journals/corr

María Barbero-Liñán Juan Manuel López Medel David Martín de Diego Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm. 2025 May abs/2505.06024 CoRR https://doi.org/10.48550/arXiv.2505.06024 db/journals/corr/corr2505.html#abs-2505-06024 streams/journals/corr

María Barbero-Liñán Juan Carlos Marrero David Martín de Diego From retraction maps to symplectic-momentum numerical integrators. 2024 abs/2401.14800 CoRR https://doi.org/10.48550/arXiv.2401.14800 db/journals/corr/corr2401.html#abs-2401-14800

María Barbero-Liñán David Martín de Diego Retraction Maps: A Seed of Geometric Integrators. 1335-1380 2023 August 23 Found. Comput. Math. 4 https://doi.org/10.1007/s10208-022-09571-x db/journals/focm/focm23.html#BarberoLinanD23

Alexandre Anahory Simoes María Barbero-Liñán Leonardo Colombo David Martín de Diego Higher-Order Retraction Maps and Construction of Numerical Methods for Optimal Control of Mechanical Systems. 3288-3295 2023 CDC https://doi.org/10.1109/CDC49753.2023.10383230 conf/cdc/2023 db/conf/cdc/cdc2023.html#SimoesBCD23

Alexandre Anahory Simoes María Barbero-Liñán Leonardo Colombo David Martín de Diego Higher-order retraction maps and construction of numerical methods for optimal control of mechanical systems. 2023 abs/2303.17917 CoRR https://doi.org/10.48550/arXiv.2303.17917 db/journals/corr/corr2303.html#abs-2303-17917

María Barbero-Liñán David Martín de Diego Rodrigo Takuro Sato Martín de Almagro A new perspective on symplectic integration of constrained mechanical systems via discretization maps. 2023 abs/2306.06786 CoRR https://doi.org/10.48550/arXiv.2306.06786 db/journals/corr/corr2306.html#abs-2306-06786

María Barbero-Liñán David Martín de Diego Presymplectic integrators for optimal control problems via retraction maps. 2022 abs/2203.00790 CoRR https://doi.org/10.48550/arXiv.2203.00790 db/journals/corr/corr2203.html#abs-2203-00790

María Barbero-Liñán David Martín de Diego Extended retraction maps: a seed of geometric integrators. 2021 abs/2106.00607 CoRR https://arxiv.org/abs/2106.00607 db/journals/corr/corr2106.html#abs-2106-00607

Leonardo Colombo Héctor García de Marina María Barbero-Liñán David Martín de Diego On the observability of relative positions in left-invariant multi-agent control systems and its application to formation control. 7333-7338 2019 CDC https://doi.org/10.1109/CDC40024.2019.9030045 conf/cdc/2019 db/conf/cdc/cdc2019.html#ColomboMBD19

Leonardo Colombo Héctor García de Marina María Barbero-Liñán David Martín de Diego On the observability of relative positions in left-invariant multi-agent control systems and its application to formation control. 2019 abs/1909.08914 CoRR http://arxiv.org/abs/1909.08914 db/journals/corr/corr1909.html#abs-1909-08914

María Barbero-Liñán Mario Sigalotti New high order sufficient conditions for configuration tracking. 222-226 2015 62 Autom. https://doi.org/10.1016/j.automatica.2015.09.032 db/journals/automatica/automatica62.html#Barbero-LinanS15

María Barbero-Liñán B. Jakubczyk Second Order Conditions for Optimality and Local Controllability of Discrete-Time Systems. 352-377 2015 53 SIAM J. Control. Optim. 1 https://doi.org/10.1137/130907719 db/journals/siamco/siamco53.html#Barbero-LinanJ15

María Barbero-Liñán David Iglesias Ponte David Martín de Diego Morse Families In Optimal Control Problems. 414-433 2015 53 SIAM J. Control. Optim. 1 https://doi.org/10.1137/120903488 db/journals/siamco/siamco53.html#Barbero-LinanPD15

María Barbero-Liñán Mario Sigalotti Configuration tracking for mechanical systems by kinematic reduction and fast oscillating controls. 4061-4066 2015 CDC https://doi.org/10.1109/CDC.2015.7402851 conf/cdc/2015 db/conf/cdc/cdc2015.html#Barbero-LinanS15 María Barbero-Liñán Characterization of accessibility for affine connection control systems at some points with nonzero velocity. 6528-6533 2011 CDC/ECC https://doi.org/10.1109/CDC.2011.6160446 conf/cdc/2011 db/conf/cdc/cdc2011.html#Barbero-Linan11

María Barbero-Liñán Characterization of accessibility for affine connection control systems at some points with nonzero velocity http://arxiv.org/abs/1109.4544 2011 CoRR abs/1109.4544 db/journals/corr/corr1109.html#abs-1109-4544

María Barbero-Liñán Mario Sigalotti High-order sufficient conditions for configuration tracking of affine connection control systems. 491-503 2010 59 Syst. Control. Lett. 8 https://doi.org/10.1016/j.sysconle.2010.06.011 db/journals/scl/scl59.html#Barbero-LinanS10

Rodrigo Sato Martín de AlmagroRodrigo Takuro Sato Martín de Almagro Anthony M. Bloch Leonardo Colombo David Martín de Diego B. Jakubczyk Héctor García de Marina Juan Carlos Marrero Juan Manuel López Medel David Iglesias Ponte Mario Sigalotti Alexandre Anahory SimõesAlexandre Anahory Simoes