Controllability of linear systems on Lie groups with finite semisimple center

2016/01/04 by Da Silva, Adriano, Ayala, Victor
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1601.00458

Abstract

In this paper we extend the results on controllability of linear systems obtained in "Controllability of linear systems on solvable Lie groups", from solvable Lie groups to Lie groups with finite semisimple center.

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• Controllability of discrete-time linear systems on lie groups with finite semisimple center
• Controllability of linear systems on solvable Lie groups
• Control sets of linear systems on semi-simple Lie groups
• Controllability of discrete-time linear systems on solvable Lie groups
• The control set of a linear control system on the two dimensional solvable Lie group