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- James Biggs, William Holderbaum, Velimir Jurdjevic
- IEEE Trans. Automat. Contr.
- 2007

- Velimir Jurdjevic
- Encyclopedia of Complexity and Systems Science
- 2009

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)

- Velimir Jurdjevic
- Mathematical systems theory
- 1974

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)

Let us begin with the basic concepts and notations required to set the text in motion starting from differentiable manifolds as the point of departure. Throughout the text, manifolds will be generally designated by the capital letters M, N, O, . . . and their points by the lower case letters x, y, z, . . . . Unless otherwise stated, all manifolds will be… (More)

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