Robustness of d-stability for discrete large-scale uncertain systems

Chien Hua Lee, Tzuu Hseng S. Li, Fan Chu Kung

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)


Based on Lyapunov stability theory associated with transformation techniques, the D-stability robustness problem is first discussed for discrete large-scale systems subjected to interconnections and perturbations. Three classes of perturbation are treated: (1) unstructured parametric perturbations; (2) highly structured parametric perturbations; and (3) nonlinear perturbations. If all the eigenvalues of each nominal subsystem are located inside the specified discs Di(∝i, ri), respectively, sufficient conditions for D-stability are presented to guarantee that all the eigenvalues of each perturbed subsystem remain inside the same discs. Furthermore, the proposed D-stability criteria ensure that the whole discrete large-scale system is D-stable irrespective of perturbations and interconnections if the eigenvalues of each nominal subsystem lie within the same disk D(∝, r). By these conditions, the allowable perturbation bounds that ensure the D-stability of discrete large-scale perturbed system can be estimated. Finally, numerical examples are given for illustration.

頁(從 - 到)479-498
期刊International Journal of Systems Science
出版狀態Published - 1993 三月

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 理論電腦科學
  • 電腦科學應用


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