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.