Geodesic
Kinematic similarity of linear differential systems with a parametric coefficient of a derivative
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 42-63

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The kinematic similarity set for a pair of two piecewise continuous bounded matrices (i.e., matrix-valued functions) $A(\cdot)$ and $B(\cdot)$ defined on the time semi-axis is defined as the set of all real $\mu$ for which the matrices $\mu A(\cdot)$ and $\mu B(\cdot)$ are kinematically similar. It is shown that a subset of the real axis is a kinematic similarity set for a pair of matrices if it contains the origin and is an $F\sigma$-set. 
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     author = {E. A. Barabanov},
     title = {Kinematic similarity of linear differential systems with a parametric coefficient of a derivative},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
     pages = {42--63},
     publisher = {mathdoc},
     volume = {30},
     number = {30},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a1/}
}
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E. A. Barabanov. Kinematic similarity of linear differential systems with a parametric coefficient of a derivative. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 42-63. http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a1/