Ad-rank condition for controllability of linear control system on solvable Lie groups

2017/09/25 by Stelmastchuk, Simão N.
#16W25 #93B05 #93C15 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1709.08464

Abstract

Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. When the state space is a solvable connected Lie group, controllability of the linear system is assured if the ad-rank condition holds.

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