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

Chien Hua Lee; Tzuu Hseng Li; Fan Chu Kung

doi:10.1007/BF01188990

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

Chien Hua Lee, Tzuu Hseng Li, Fan Chu Kung

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	695-709
Number of pages	15
Journal	Circuits, Systems, and Signal Processing
Volume	15
Issue number	5
DOIs	https://doi.org/10.1007/BF01188990
Publication status	Published - 1996 Jan 1

All Science Journal Classification (ASJC) codes

Signal Processing
Applied Mathematics

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10.1007/BF01188990

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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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AB - 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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