Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 159, pp. 1-14.
Title: Stability of second-order differential inclusions
Author: Henry Gonzalez (Obuda Univ., Budapest, Hungary)
Abstract:
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.
Submitted January 31, 2011. Published November 28, 2011.
Math Subject Classifications: 93D09, 34A60.
Key Words: Robust stability; stability radius; differential inclusions.