Lequan Minand Ning Song, Representations of Real and Complex Stability Radii of 2-Dimensional Linear Systems, J. Univ. Sci. Technol. Beijing, 6(1999), No. 4, pp. 299-301.
Cite this article as:
Lequan Minand Ning Song, Representations of Real and Complex Stability Radii of 2-Dimensional Linear Systems, J. Univ. Sci. Technol. Beijing, 6(1999), No. 4, pp. 299-301.
Lequan Minand Ning Song, Representations of Real and Complex Stability Radii of 2-Dimensional Linear Systems, J. Univ. Sci. Technol. Beijing, 6(1999), No. 4, pp. 299-301.
Citation:
Lequan Minand Ning Song, Representations of Real and Complex Stability Radii of 2-Dimensional Linear Systems, J. Univ. Sci. Technol. Beijing, 6(1999), No. 4, pp. 299-301.
Rigorous proofs are given for the representations of real and complex stability radii of 2-dimensional linear systems. This representations can be used to analyze the robustness of a nominal 2-dimensional linear system under pelturbation of the system parameters, in particular testing the effect of numerical algorithms which are used to calculate the real stability radii of higher dimensional piecewise-linear systems.