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Controllability of Linear Systems on Solvable Lie Groups

Controllability of Linear Systems on Solvable Lie Groups

Linear systems on Lie groups are a natural generalization of linear systems on Euclidian spaces. For such systems, this paper studies controllability by taking into consideration the eigenvalues of an associated derivation ${\mathcal{D}}$. When the state space is a solvable connected Lie group, controllability of the system is guaranteed if …