Geodesic
On the residual uniform stability of linear systems with unbounded coefficients
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 213-220

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It is shown that there exist linear nonautonomous systems of any dimension that have unbounded coefficients and possess the properties of residual uniform stability and asymptotic stability, but are not uniformly stable. 
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     author = {N. L. Margolina},
     title = {On the residual uniform stability of linear systems with unbounded coefficients},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
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     publisher = {mathdoc},
     volume = {30},
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     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a11/}
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N. L. Margolina. On the residual uniform stability of linear systems with unbounded coefficients. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 213-220. http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a11/