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L∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils

delete2012-01-01
delete36
PRE
AI
P
Peter Benner *
V
Vasile Sima
M
Matthias Voigt
DOI:10.1109/TAC.2011.2161833delete
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摘要

摘要

En 中文
In this technical note, we discuss an algorithm for the computation of the L-infinity-norm of transfer functions related to descriptor systems. We show how one can achieve this goal by computing the eigenvalues of certain skew-Hamiltonian/Hamiltonian matrix pencils and analyze arising problems. We also formulate and prove a theoretical result which serves as a basis for testing a transfer function matrix for properness. Finally, we illustrate our results using a descriptor system related to mechanical engineering.
Keyword:
Continuous time systems
H-infinity control
numerical stability
singular systems
skew-Hamiltonian/Hamiltonian matrix pencils
transfer function matrices
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期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

M
Max Planck Society
学者数:
8.2W
论文数: 7.7W
被引数: 3.3W
N
national institute r&d informatics bucharest
学者数:
51
论文数: 35
被引数: 0
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