The Explicit Structure of Inner Matrices and Its Application in H∞-Optimization

U. Shaked

doi:10.1109/9.29401

The Explicit Structure of Inner Matrices and Its Application in H∞-Optimization

U. Shaked^*

^*Corresponding author for this work

School of Electrical Engineering

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

12 Scopus citations

Abstract

A very simple expression for inner matrices is obtained which allows a detailed investigation of their structure. This expression is used to solve the H∞-interpolation problem in a most simple way. A solution to this problem is obtained explicitly in terms of the interpolation parameters without solving any equation. It is found that the resulting solution encounters a reduction in its order at the critical point, and the characteristics of the resulting reduced-order solution are investigated.

Original language	English
Pages (from-to)	734-738
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	34
Issue number	7
DOIs	https://doi.org/10.1109/9.29401
State	Published - Jul 1989

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abstract = "A very simple expression for inner matrices is obtained which allows a detailed investigation of their structure. This expression is used to solve the H∞-interpolation problem in a most simple way. A solution to this problem is obtained explicitly in terms of the interpolation parameters without solving any equation. It is found that the resulting solution encounters a reduction in its order at the critical point, and the characteristics of the resulting reduced-order solution are investigated.",

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AB - A very simple expression for inner matrices is obtained which allows a detailed investigation of their structure. This expression is used to solve the H∞-interpolation problem in a most simple way. A solution to this problem is obtained explicitly in terms of the interpolation parameters without solving any equation. It is found that the resulting solution encounters a reduction in its order at the critical point, and the characteristics of the resulting reduced-order solution are investigated.

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The Explicit Structure of Inner Matrices and Its Application in H∞-Optimization

Abstract

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