Controllability of right invariant systems on real simple Lie groups of typeF 4,G 2,C n,andB n * |
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| Authors: | R. El Assoudi J. P. Gauthier |
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| Affiliation: | (1) Laboratoire d’Automatique de Grenoble, BP 46, 38402 Saint-Martin-D’Heres, France;(2) Laboratoire d’Automatique UER de Physique, Université Claude Bernard-Lyon 1, 43 boulevard du 11 Novembre 1918, 69022 Villeurbanne, France |
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| Abstract: | We deal with controllability of right-invariant systems for some real simple Lie groups ofF 4,G 2,C n , andB n types. We prove that the so-calledcontrollability rank condition is a necessary and sufficient condition for controllability for an open class of systems. In other papers, analogous results were obtained for Lie groups of the remaining types (i.e.,E 6,E 7,E 8,A n , andD n ) using a special property of the root systems of their Lie algebras. |
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| Keywords: | Simple Lie groups Controllability Invariant vector fields Root systems |
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