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On the estimation of eigenvalue regions for discrete time-delay systems with a class of highly structured perturbations

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Abstract

By means of norm,M-matrix, and matrix measure techniques, this paper estimates several restricted regions in the complex plane in which all eigenvalues of a class of discrete time-delay systems subjected to highly structured parametric perturbations are located. Both the stability and the instability conditions for these systems are also investigated via the proposed schemes. Two numerical examples are given to verify the correctness and demonstrate the applicability of the quantitative results.

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Authors and Affiliations

  1. Department of Electronic Engineering, Kung Shan Institute of Technology, Yung Kang, Tainan 710, Taiwan, Republic of China

    Chien-Hua Lee

  2. Control Systems Laboratory, Department of Electrical Engineering, National Cheng Kung University, 70101, Tainan, Taiwan, Republic of China

    Tzuu-Hseng S. Li & Fan-Chu Kung

Authors
  1. Chien-Hua Lee
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  2. Tzuu-Hseng S. Li
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  3. Fan-Chu Kung
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Additional information

Work supported by the National Science Council of the Republic of China under Grant NSC-83-0404-E006.

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Lee, CH., Li, TH.S. & Kung, FC. On the estimation of eigenvalue regions for discrete time-delay systems with a class of highly structured perturbations. Circuits Systems and Signal Process 15, 695–709 (1996). https://doi.org/10.1007/BF01188990

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  • DOI: https://doi.org/10.1007/BF01188990

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