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.
Applied Science School, University of Science and Technology Beijing, Beijing 100083, China
China Center of Advanced Science and Technology, Beijing 100080, China
中文摘要
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.
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.
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