Control sets of linear systems on semi-simple Lie groups

2018/12/12 by Ayala, Victor, Da Silva, Adriano, Jouan, Philippe +1
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1812.05004

Abstract

In this paper we study the main properties of control sets with nonempty interior of linear control systems on semisimple Lie groups. We show that, unlike the solvable case, linear control systems on semisimple Lie groups may have more than one control set with nonempty interior and that they are contained in right translations of the one around the identity.

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