On Computing the Spectral Radius of the Hankel Plus Toeplitz Operator

Jyh Ching Juang; Edmond A. Jonckheere

doi:10.1109/9.14417

On Computing the Spectral Radius of the Hankel Plus Toeplitz Operator

Jyh Ching Juang
, Edmond A. Jonckheere

Department of Electrical Engineering

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

8 Citations (Scopus)

Abstract

The square root of the spectral radius of the Hankel plus Toeplitz operator has been shown to be the achievable performance of the mixedsensitivity H[Formula ommited] design. The computation of the spectral radius is the bottleneck in the synthesis of the H[Formula ommited] controller. In this paper, the spectral properties of the Hankel plus Toeplitz operator are investigated. A finite procedure for computing the spectral radius of the Hankel plus Toeplitz operator is proposed.

Original language	English
Pages (from-to)	1053-1059
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	33
Issue number	11
DOIs	https://doi.org/10.1109/9.14417
Publication status	Published - 1988 Nov

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/9.14417

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title = "On Computing the Spectral Radius of the Hankel Plus Toeplitz Operator",

abstract = "The square root of the spectral radius of the Hankel plus Toeplitz operator has been shown to be the achievable performance of the mixedsensitivity H[Formula ommited] design. The computation of the spectral radius is the bottleneck in the synthesis of the H[Formula ommited] controller. In this paper, the spectral properties of the Hankel plus Toeplitz operator are investigated. A finite procedure for computing the spectral radius of the Hankel plus Toeplitz operator is proposed.",

author = "Juang, \{Jyh Ching\} and Jonckheere, \{Edmond A.\}",

note = "Funding Information: Manuscript received April 1, 1987; revised January 9, 1988 and March 31, 1988. Paper recommended by Associate Editor, J. D. Cobb. This work was supported by the Air Force Office of Scientific Research under Grant 850256 and by the National Science Foundation under Grant DMS-8703954. The authors are with the Department of Electrical Engineering-Systems, University of Southern California, Los Angeles, CA 90089-078 1. IEEE Log Number 8823323.",

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N2 - The square root of the spectral radius of the Hankel plus Toeplitz operator has been shown to be the achievable performance of the mixedsensitivity H[Formula ommited] design. The computation of the spectral radius is the bottleneck in the synthesis of the H[Formula ommited] controller. In this paper, the spectral properties of the Hankel plus Toeplitz operator are investigated. A finite procedure for computing the spectral radius of the Hankel plus Toeplitz operator is proposed.

AB - The square root of the spectral radius of the Hankel plus Toeplitz operator has been shown to be the achievable performance of the mixedsensitivity H[Formula ommited] design. The computation of the spectral radius is the bottleneck in the synthesis of the H[Formula ommited] controller. In this paper, the spectral properties of the Hankel plus Toeplitz operator are investigated. A finite procedure for computing the spectral radius of the Hankel plus Toeplitz operator is proposed.

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JO - IEEE Transactions on Automatic Control

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ER -

On Computing the Spectral Radius of the Hankel Plus Toeplitz Operator

Abstract

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