Velimir Jurdjevic

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This paper considers the motion planning problem for oriented vehicles travelling at unit speed in a threedimensional space. A Lie group formulation arises naturally and the vehicles are modelled as kinematic control systems with drift defined on the orthonormal frame bundles of particular Riemannian manifolds, specifically the three-dimensional space forms(More)
The basic motivation is essentially twofold. First, it is to point out certain structural similarities between systems described by automata theory and those described by differential equations. Second, it is to extend some well-known results from the theory of finite transducers to general dynamical systems. The present formalism is a blend of several(More)
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