The $ l_\infty $-induced norm of multivariable discrete-time linear systems: Upper and lower bounds with convergence rate analysis

The $ l_\infty $-induced norm of multivariable discrete-time linear systems: Upper and lower bounds with convergence rate analysis

This paper develops a method for computing the $ l_{\infty} $-induced norm of a multivariable discrete-time linear system, for which an infinite-dimensional matrix should be intrinsically concerned with. To make such a computation feasible, we treat the infinite-dimensional matrix in a truncated fas...

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Bibliographic Details
Main Authors: Oe Ryung Kang, Jung Hoon Kim
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:AIMS Mathematics
Subjects:
multivariable discrete-time linear systems
truncated fashion
$ l_\infty $-induced norm
generalized $ h_2 $ norm
convergence rate analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231492?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231492?viewType=HTML

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