Electron. J. Diff. Equ., Vol. 2011 (2011), No. 159, pp. 1-14.

Stability of second-order differential inclusions

Henry Gonzalez

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.

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Henry González
Faculty of light industry and environmental protection engineering
Obuda University
1034 Budapest, Bécsi út 96/B, Hungary
email: gonzalez.henry@rkk.uni-obuda.hu

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