Geodesic
Stability of second-order differential inclusions
Electronic journal of differential equations, Tome 2011 (2011)
For an arbitrary second-order stable matrix A, we calculate the maximum positive value R for which the differential inclusion

$ \dot{x}\in F_{R}(x):=\{(A+\Delta)x, \Delta \in \mathbb{R}^{2\times 2}, \|\Delta \| \leq R \} $

is asymptotically stable.
Classification : 93D09, 34A60
Keywords: robust stability, stability radius, differential inclusions 
@article{EJDE_2011__2011__a95,
     author = {Gonzalez,  Henry},
     title = {Stability of second-order differential inclusions},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1237.93142},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a95/}
}
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Gonzalez,  Henry. Stability of second-order differential inclusions. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a95/