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arXiv · 2209.11278

Global Controllability Criteria and Motion Planning of Regular Affine Systems With Drifts

Zhengping Ji·Xiao Zhang·Daizhan Cheng
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Abstract

In this article, we give a condition for the global controllability of affine nonlinear control systems with drifts on Euclidean spaces. Under regularity assumptions, the condition is necessary and sufficient in the codimension-1 and codimension-2 cases, and holds for systems of higher codimensions under mild restrictions. We then investigate motion planning problems for codimension-1 affine systems, and give proof of the global existence of the lift to control curves for certain drifted systems using the homotopy continuation method.

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Zhengping Ji, Xiao Zhang, Daizhan Cheng. 2022-09-22. Global Controllability Criteria and Motion Planning of Regular Affine Systems With Drifts. https://arxiv.org/abs/2209.11278

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