Xiaodan Zhangand Lequan Min, Algorithm for Computation of Unstructured Real Stability Radius and Its Applications, J. Univ. Sci. Technol. Beijing, 5(1998), No. 4, pp. 245-250.
Cite this article as:
Xiaodan Zhangand Lequan Min, Algorithm for Computation of Unstructured Real Stability Radius and Its Applications, J. Univ. Sci. Technol. Beijing, 5(1998), No. 4, pp. 245-250.
Xiaodan Zhangand Lequan Min, Algorithm for Computation of Unstructured Real Stability Radius and Its Applications, J. Univ. Sci. Technol. Beijing, 5(1998), No. 4, pp. 245-250.
Citation:
Xiaodan Zhangand Lequan Min, Algorithm for Computation of Unstructured Real Stability Radius and Its Applications, J. Univ. Sci. Technol. Beijing, 5(1998), No. 4, pp. 245-250.
Applied Science School, University of Science and Technology Beijing, Beijing 100083, China
中文摘要
An algorithm for the computation of the unstructured real stability radius of high dimensional linear system is presented. Using the accurate formula of the real stability radius of 2-dimensional system linear system checks the algorithm. The result shows that the algorithm is reliable and efficient. As applications, the unstructured real stability radii of 2-dimensional Chua's circuit and 3-dimensional piecewise-linear system are calculated, the dynamical orbits of the corresponding perturbed systems are simulated.
An algorithm for the computation of the unstructured real stability radius of high dimensional linear system is presented. Using the accurate formula of the real stability radius of 2-dimensional system linear system checks the algorithm. The result shows that the algorithm is reliable and efficient. As applications, the unstructured real stability radii of 2-dimensional Chua's circuit and 3-dimensional piecewise-linear system are calculated, the dynamical orbits of the corresponding perturbed systems are simulated.