Dispersiveness and controllability of invariant control systems on nilpotent Lie groups

Author:

Silva Jean G.,Souza Josiney A.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Springer Science and Business Media LLC

Reference24 articles.

1. Anzaldo-Meneses, A., Monroy-Pérez, F.: Charges in magnetic fields and sub-Riemannian geodesics. In: Anzaldo-Meneses, A., Bonnnard, B., Gauthier, J.P., Monroy-Pérez, F. (eds.) Contemporary Trends in Geometric Control Theory and Applications. Word Scientific, New Jersey (2002)

2. Ayala, V.: Controllability of nilpotent systems. Geom. Nonlinear Control Differ. Incl. 32, 35–46 (1995)

3. Ayala, V., Da Silva, A., Zsigmond, G.: Control sets of linear systems on Lie groups. Nonlinear Differ. Equ. Appl. 24, 1021–9722 (2017)

4. Bartlett, C.E., Biggs, R., Remsing, C.C.: Control systems on nilpotent Lie groups of dimension $$\le 4$$: equivalence and classification. Differential Geom. Appl. 54, 282–297 (2017)

5. Binz, E., Pods, S.: Geometry of Heisenberg Groups. American Mathematical Society, Providence (2008)

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