Engel群上Sub-Finsler问题的Bang-Bang极值

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140542

Y. Sachkov

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引用次数: 1

摘要

考虑Engel群上的一类单参数左不变2阶子finsler问题，其控制参数集由以原点为中心并旋转任意角度的正方形给定。我们描述了bang-bang极值的相画像。进一步，我们得到了最优bang-bang极值上的bang弧个数的上界。

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Bang-Bang Extremals in Sub-Finsler Problems on Engel Group

We consider a one-parameter family of left-invariant rank 2 sub-Finsler problems on the Engel group with the set of control parameters given by a square centered at the origin and rotated by an arbitrary angle. We describe the phase portrait for bang-bang extremals. Further, we obtain an upper bound on the number of bang arcs on optimal bang-bang extremals.

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来源期刊

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)

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