Geodesic
On global Lyapunov reducibility of two-dimensional linear time-invariant control systems
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 47-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let the stationary system $\dot x=Ax+Bu, x\in\mathbb{R}^2, u\in\mathbb{R}^m$ is totally controllable. Then it possesses the property of global Lyapunov reducibility in class of stationary controls $u=Ux$, that is for any fixed stationary system $\dot y=Cy$ there exists the time-independent matrix $U$, such that the system $\dot x=(A+BU)x$ with this matrix is asymptotically equivalent (kinematically similar) to the above fixed system. 
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     title = {On global {Lyapunov} reducibility of two-dimensional linear time-invariant control systems},
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     pages = {47--50},
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V. A. Zaitsev. On global Lyapunov reducibility of two-dimensional linear time-invariant control systems. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 47-50. http://geodesic.mathdoc.fr/item/IIMI_2002_2_a11/

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