Perturbation bounds for root-clustering of linear systems in a specified second order subregion

W. Bakker; J.S. Luo; A. Johnson

doi:10.1109/9.376060

Perturbation bounds for root-clustering of linear systems in a specified second order subregion

W. Bakker, J.S. Luo, A. Johnson

Control Systems

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Abstract

Sufficient bounds for structured and unstructured uncertainties for root-clustering in a specified second order subregion of the complex plane, for both continuous-time and discrete-time systems, are given using the generalized Lyapunov theory. Furthermore, for unstructured uncertainties, a still less conservative result is obtained by shifting the center or focus of the subregion along the real axis to the origin and by applying root-clustering to the "shifted eigenvalue" system matrix, which is obtained by shifting the eigenvalues of the system matrix correspondingly

Original language	English
Pages (from-to)	473-478
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	40
DOIs	https://doi.org/10.1109/9.376060
Publication status	Published - 1995

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abstract = "Sufficient bounds for structured and unstructured uncertainties for root-clustering in a specified second order subregion of the complex plane, for both continuous-time and discrete-time systems, are given using the generalized Lyapunov theory. Furthermore, for unstructured uncertainties, a still less conservative result is obtained by shifting the center or focus of the subregion along the real axis to the origin and by applying root-clustering to the {"}shifted eigenvalue{"} system matrix, which is obtained by shifting the eigenvalues of the system matrix correspondingly",

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AU - Bakker, W.

AU - Luo, J.S.

AU - Johnson, A.

PY - 1995

Y1 - 1995

N2 - Sufficient bounds for structured and unstructured uncertainties for root-clustering in a specified second order subregion of the complex plane, for both continuous-time and discrete-time systems, are given using the generalized Lyapunov theory. Furthermore, for unstructured uncertainties, a still less conservative result is obtained by shifting the center or focus of the subregion along the real axis to the origin and by applying root-clustering to the "shifted eigenvalue" system matrix, which is obtained by shifting the eigenvalues of the system matrix correspondingly

AB - Sufficient bounds for structured and unstructured uncertainties for root-clustering in a specified second order subregion of the complex plane, for both continuous-time and discrete-time systems, are given using the generalized Lyapunov theory. Furthermore, for unstructured uncertainties, a still less conservative result is obtained by shifting the center or focus of the subregion along the real axis to the origin and by applying root-clustering to the "shifted eigenvalue" system matrix, which is obtained by shifting the eigenvalues of the system matrix correspondingly

U2 - 10.1109/9.376060

DO - 10.1109/9.376060

M3 - Article

SN - 0018-9286

VL - 40

SP - 473

EP - 478

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

ER -

Perturbation bounds for root-clustering of linear systems in a specified second order subregion

Abstract

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