Geodesic
The space of linear control systems and its canonical representatives
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2012), pp. 60-76 Cet article a éte moissonné depuis la source Math-Net.Ru

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The space of linear control systems that are parameterized with the help of a topological dynamical system is considered. For each invariant space (with respect to a flow in the dynamical system phase space) there are constructed its extension and the corresponding Perron transformation that reduces a given family of systems to the so-called canonical system. It is also proved that for minimal invariant spaces the Perron transformation possesses the recurrence property.
Keywords: linear control systems, controllability space, dynamical systems.
Mots-clés : the Perron transformation 
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E. L. Tonkov. The space of linear control systems and its canonical representatives. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2012), pp. 60-76. http://geodesic.mathdoc.fr/item/VUU_2012_1_a6/

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