Lie Brackets and Stabilizing Feedback Controls
The relation between a class of high-order control variations and the asymptotic stabilizability of a smooth control system is briefly discussed. Assuming that there exist high-order control variations ”pointing” to a closed set at every point of some its neighborhood, an approach for constructing stabilizing feedback controls is proposed. Two illustrative examples are also presented.
KeywordsSmooth Vector Switching Linear System Admissible Trajectory Piecewise Linear System Geometric Control Theory
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