Assif P. K., Mishal; Chatterjee, Debasish; Banavar, Ravi A simple proof of the discrete time geometric Pontryagin maximum principle on smooth manifolds. (English) Zbl 1442.49023 Automatica 114, Article ID 108791, 7 p. (2020). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49K15 49K21 49K27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jafarpour, Saber On small-time local controllability. (English) Zbl 1440.93031 SIAM J. Control Optim. 58, No. 1, 425-446 (2020). Reviewer: Mikhail I. Krastanov (Sofia) MSC: 93B05 93C10 93B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kipka, Robert; Gupta, Rohit The discrete-time geometric maximum principle. (English) Zbl 1420.49028 SIAM J. Control Optim. 57, No. 4, 2939-2961 (2019). MSC: 49K21 49K40 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Phogat, Karmvir Singh; Chatterjee, Debasish; Banavar, Ravi N. A discrete-time Pontryagin maximum principle on matrix Lie groups. (English) Zbl 1406.49022 Automatica 97, 376-391 (2018). MSC: 49K21 93C55 70Q05 49N90 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jafarpour, Saber; Lewis, Andrew D. Locally convex topologies and control theory. (English) Zbl 1357.93047 Math. Control Signals Syst. 28, No. 4, Paper No. 29, 46 p. (2016). MSC: 93C10 93A10 46A99 × Cite Format Result Cite Review PDF Full Text: DOI
Kraus, Michael; Tassi, Emanuele; Grasso, Daniela Variational integrators for reduced magnetohydrodynamics. (English) Zbl 1349.76491 J. Comput. Phys. 321, 435-458 (2016). MSC: 76M20 65M20 35Q35 65M06 76W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Jóźwikowski, Michał; Respondek, Witold A contact covariant approach to optimal control with applications to sub-Riemannian geometry. (English) Zbl 1350.49022 Math. Control Signals Syst. 28, No. 3, Paper No. 27, 47 p. (2016). MSC: 49K15 53C17 53D10 58A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lewis, Andrew Linearisation of tautological control systems. (English) Zbl 1332.93046 J. Geom. Mech. 8, No. 1, 99-138 (2016). MSC: 93A30 93B18 46E10 93B99 × Cite Format Result Cite Review PDF Full Text: DOI
Jiménez, Fernando; Yoshimura, Hiroaki Dirac structures in vakonomic mechanics. (English) Zbl 1345.70031 J. Geom. Phys. 94, 158-178 (2015). MSC: 70H45 70F25 70H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbero-Liñán, María; Ponte, David Iglesias; Martín de Diego, David Morse families in optimal control problems. (English) Zbl 1319.49028 SIAM J. Control Optim. 53, No. 1, 414-433 (2015). MSC: 49K15 53D12 53D05 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbero-Liñán, M.; Muñoz-Lecanda, M. C. \(k\)-symplectic Pontryagin’s maximum principle for some families of PDEs. (English) Zbl 1291.35422 Calc. Var. Partial Differ. Equ. 49, No. 3-4, 1199-1221 (2014). MSC: 35Q93 93C20 49K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbero-Liñán, M.; Muñoz-Lecanda, M. C. Presymplectic high order maximum principle. (English) Zbl 1260.49027 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 106, No. 1, 97-110 (2012). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49K15 49J15 70H05 70H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biggs, James D.; Horri, Nadjim Optimal geometric motion planning for a spin-stabilized spacecraft. (English) Zbl 1250.49022 Syst. Control Lett. 61, No. 4, 609-616 (2012). MSC: 49K15 93B27 70P05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Biggs, J.; Holderbaum, W. Integrable quadratic hamiltonians on the Euclidean group of motions. (English) Zbl 1203.70041 J. Dyn. Control Syst. 16, No. 3, 301-317 (2010). MSC: 70Q05 53C17 37J99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Barbero-Liñán, M.; Muñoz-Lecanda, M. C. Geometric approach to Pontryagin’s maximum principle. (English) Zbl 1242.49045 Acta Appl. Math. 108, No. 2, 429-485 (2009). MSC: 49K15 34A12 49K30 93C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jakubczyk, B.; Kryński, W.; Pelletier, F. Characteristic vector fields of generic distributions of corank 2. (English) Zbl 1154.53018 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 23-38 (2009). MSC: 53C17 58A30 53C40 53C15 53D10 58A17 58K50 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Yoshimura, Hiroaki; Marsden, Jerrold E. Reduction of Dirac structures and the Hamilton-Pontryagin principle. (English) Zbl 1141.53081 Rep. Math. Phys. 60, No. 3, 381-426 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 × Cite Format Result Cite Review PDF Full Text: DOI
Sussmann, H. J. Set separation, approximating multicones, and the Lipschitz maximum principle. (English) Zbl 1354.49046 J. Differ. Equations 243, No. 2, 448-488 (2007). MSC: 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Bullo, Francesco; Lewis, Andrew D. Reduction, linearization, and stability of relative equilibria for mechanical systems on Riemannian manifolds. (English) Zbl 1128.53014 Acta Appl. Math. 99, No. 1, 53-95 (2007). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53B05 70H03 70H33 70Q05 93B18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Iyer, Ram V.; Holsapple, Raymond; Doman, David Optimal control problems on parallelizable Riemannian manifolds: theory and applications. (English) Zbl 1108.49022 ESAIM, Control Optim. Calc. Var. 12, 1-11 (2006). MSC: 49K30 49M05 58E25 90C48 93C10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Yoshimura, Hiroaki; Marsden, Jerrold E. Dirac structures in Lagrangian mechanics. II: Variational structures. (English) Zbl 1121.53057 J. Geom. Phys. 57, No. 1, 209-250 (2006). MSC: 53D17 37J05 49J15 70G45 70H03 70H45 94C05 × Cite Format Result Cite Review PDF Full Text: DOI
Langerock, B. Autonomous optimal control problems. (English) Zbl 1045.49024 Rep. Math. Phys. 51, No. 2-3, 259-267 (2003). MSC: 49K15 93B29 58E25 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Echeverría-Enríquez, A.; Marín-Solano, J.; Muñoz-Lecanda, M. C.; Román-Roy, N. Geometric reduction in optimal control theory with symmetries. (English) Zbl 1051.49011 Rep. Math. Phys. 52, No. 1, 89-113 (2003). MSC: 49K15 37J15 70G45 70G65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Langerock, B. A connection theoretic approach to sub-Riemannian geometry. (English) Zbl 1034.53029 J. Geom. Phys. 46, No. 3-4, 203-230 (2003). Reviewer: Gheorghe Pitiş (Braşov) MSC: 53C17 53C05 58E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv