Representations of Real and Complex Stability Radii of 2-Dimensional Linear Systems

Lequan Min; Ning Song

Volume 6 Issue 4

Dec. 1999

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Article Navigation > International Journal of Minerals, Metallurgy and Materials > 1999 > 6(4): 299-301

Lequan Min and 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 Min and 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 Min and 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 Min and 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.

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Representations of Real and Complex Stability Radii of 2-Dimensional Linear Systems

Lequan Min^1,2 and
Ning Song¹

+ Author Affiliations

Received: 10 December 1998

Abstract

Abstract

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.
- linear systems;
- robustness;
- stability radii