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- W2962913803 abstract "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 the reachable set of the neutral element is open and the derivation ${mathcal{D}}$ has only pure imaginary eigenvalues. For bounded systems on nilpotent Lie groups such conditions are also necessary." @default.
- W2962913803 created "2019-07-30" @default.
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- W2962913803 date "2016-01-01" @default.
- W2962913803 modified "2023-10-14" @default.
- W2962913803 title "Controllability of Linear Systems on Solvable Lie Groups" @default.
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- W2962913803 doi "https://doi.org/10.1137/140998342" @default.
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