Titlebook: Geometric Control Theory and Sub-Riemannian Geometry; Gianna Stefani,Ugo Boscain,Mario Sigalotti Book 2014 Springer International Publishi

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Erfassungs- und Ausgabe-Peripherie,In this paper we study the topology of the configuration space of a devicewith . legs (“centipede”) under some constraints, such as the impossibility to have more than . legs off the ground. We construct feedback controls stabilizing the system on a periodic gait and defined on a ‘maximal’ subset of the configuration space.

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Abwicklung der Dokumentenakkreditive,We combine geometric and numerical techniques - the Hampath code - to compute conjugate and cut loci on Riemannian surfaces using three test bed examples: ellipsoids of revolution, general ellipsoids, and metrics with singularities on S. associated to spin dynamics.

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,The EMU Rules and Goodhart’s Law,An invariant formulation of the Pontryagin Maximum Principle (PMP) is given. It is proved that the Pontryagin derivative .. coincides on vector fields . ∊ Vect ., (. - the configuration space of the problem), with the Lie bracket .., and the flow generated on the cotangent bundle . by the vector field .. is bundle-preserving.

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,Übersetzun gen vom Deutschen ins Englische,In this paper we present a survey of the joint program with Fabrice Baudoin originated with the paper [.], and continued with the works [.–.] and [.], joint with Baudoin, Michel Bonnefont and Isidro Munive.

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Longbing Cao,Philip S. Yu,Yanchang ZhaoWe review some recent results on the regularity problem of sub-Riemannian length minimizing curves. We also discuss a new nontrivial example of singular extremal that is not length minimizing near a point where its derivative is only Hölder continuous. In the final section, we list some open problems.

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