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Control systems on semi-simple Lie groups and their homogeneous spaces. (English) Zbl 0453.93011


MSC:

93B05 Controllability
93C10 Nonlinear systems in control theory
58B25 Group structures and generalizations on infinite-dimensional manifolds
37N99 Applications of dynamical systems
22E46 Semisimple Lie groups and their representations
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References:

[1] N. BOURBAKI, Algèbre de Lie, Chap. VII-VIII, Hermann.
[2] A. BOREL-G. MOSTOW, On semi-simple automorphisms of Lie algebras, Ann. of Math., vol. 61 (1955), 389-405.0066.0240116,897d · Zbl 0066.02401
[3] J. DIXMIER, Enveloping algebras, North-Holland.0867.17001 · Zbl 0867.17001
[4] H. FREUDENTHAL, Linear Lie groups, Academic Press.0377.22001 · Zbl 0377.22001
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[8] C. LOBRY, Contrôlabilité des systèmes non-linéaires, SIAM Journal on Control, 8 (1970), 573-605.0207.1520142 #6860 · Zbl 0207.15201
[9] C. LOBRY, Contrôlabilité des systèmes non-linéaires, Proceedings of űOutils et modèles mathématiques pour l’automatique et l’analyse de systèmesƇ, C.N.R.S., Mai 1980, Centre Paul Langevin (CAES-CNRS), Aussois, France. · Zbl 0476.93015
[10] [10] and , On controllability by means of two vector fields, SIAM Journal on Control, 13 (1975), 1271-1281. · Zbl 0313.93006
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