Numerical test for semidefiniteness of functional matrices

Vladimir B. Bajic

doi:10.1109/31.55007

Numerical test for semidefiniteness of functional matrices

Vladimir B. Bajic^*

^*Corresponding author for this work

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

Abstract

A numerical test for semidefiniteness of functional matrices is developed. The testing reduces to checking simple algebraic conditions that a suitably constructed constant matrix has to satisfy. The results obtained are less restrictive than previously reported ones and may be useful in interval analysis and in robustness and stability problems. The simplicity of the test makes it very suitable for computer implementation.

Original language	English (US)
Pages (from-to)	642-644
Number of pages	3
Journal	IEEE Transactions on Circuits and Systems
Volume	37
Issue number	5
DOIs	https://doi.org/10.1109/31.55007
State	Published - 1990
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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title = "Numerical test for semidefiniteness of functional matrices",

abstract = "A numerical test for semidefiniteness of functional matrices is developed. The testing reduces to checking simple algebraic conditions that a suitably constructed constant matrix has to satisfy. The results obtained are less restrictive than previously reported ones and may be useful in interval analysis and in robustness and stability problems. The simplicity of the test makes it very suitable for computer implementation.",

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AB - A numerical test for semidefiniteness of functional matrices is developed. The testing reduces to checking simple algebraic conditions that a suitably constructed constant matrix has to satisfy. The results obtained are less restrictive than previously reported ones and may be useful in interval analysis and in robustness and stability problems. The simplicity of the test makes it very suitable for computer implementation.

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DO - 10.1109/31.55007

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AN - SCOPUS:0025432888

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JO - IEEE Transactions on Circuits and Systems

JF - IEEE Transactions on Circuits and Systems

IS - 5

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Numerical test for semidefiniteness of functional matrices

Abstract

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