Local Geometric Control of a Certain Mechanism with the Growth Vector (4,7)
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Dynamical and Control Systems |
| MU Faculty or unit | |
| Citation | HRDINA, Jaroslav and Lenka ZALABOVÁ. Local Geometric Control of a Certain Mechanism with the Growth Vector (4,7). Journal of Dynamical and Control Systems. New York: Springer, 2020, vol. 26, No 2, p. 199-216. ISSN 1079-2724. Available from: https://dx.doi.org/10.1007/s10883-019-09460-7. |
| web | https://doi.org/10.1007/s10883-019-09460-7 |
| Doi | http://dx.doi.org/10.1007/s10883-019-09460-7 |
| Keywords | Local control; Sub-Riemannian geometry; Pontryagin's maximum principle; Nilpotent Lie group |
| Description | We study local control of a mechanism with the growth vector (4,7). We study controllability and extremal trajectories of the nilpotent approximation as an example of the control theory on a Lie group. We provide solutions to the system and show examples of local extremal trajectories. |
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