Title: Controllability of Right-Invariant Systems on Solvable Lie Groups

Authors: Yu. L. Sachkov

Journal title: Journal of Dynamical and Control Systems

Year: 1997

Volume: 3

Pages: 531—564

Abstract:

We study controllability of right-invariant control systems $\Gamma = A + R \ B$ on Lie groups. Necessary and sucient controllability conditions for Lie groups not coinciding with their derived subgroup are obtained in terms of the root decomposition corresponding to the adjoint operator $ad\ B$. As an application, right-invariant systems on metabelian groups and matrix groups, and bilinear systems are considered.

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