A necessary and sufficient condition for local controllability around closed orbits

2013/12/15 by Marek Grochowski, Grochowski, Marek
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.1312.4181

arxiv created 2013/12/15 · arxiv updated 2013/12/17

Abstract

In this paper we give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on a compact manifold has a closed orbit.

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