Some arithmetical results on semi-simple Lie algebras
Tonny A. Springer (1966)
Publications Mathématiques de l'IHÉS
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Tonny A. Springer (1966)
Publications Mathématiques de l'IHÉS
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Velimir Jurdjevic, Ivan Kupka (1981)
Annales de l'institut Fourier
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In the present paper, we consider the class of control systems which are induced by the action of a semi-simple Lie group on a manifold, and we give a sufficient condition which insures that such a system can be steered from any initial state to any final state by an admissible control. The class of systems considered contains, in particular, essentially all the bilinear systems. Our condition is semi-algebraic but unlike the celebrated Kalman criterion for linear systems, it is not...
Marvin W. Grossman (1968)
Mathematische Zeitschrift
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A. Van Daele (1970)
Annales de l'I.H.P. Physique théorique
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Eric Larsson (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Sagle, Arthur A. (1962)
Portugaliae mathematica
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Sarsak, Mohammad S. (2009)
International Journal of Mathematics and Mathematical Sciences
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