Semi-definiteness of functional matrices and application in the analysis of singular RC circuits

Vladimir B. Bajic

doi:10.1108/eb010324

Semi-definiteness of functional matrices and application in the analysis of singular RC circuits

Vladimir B. Bajic^*

^*Corresponding author for this work

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

Abstract

A simple algebraic test applied to a specially constructed constant matrix is developed to test the semi-definiteness property of symmetric functional matrices. The simplicity of the algebraic test makes it very suitable for computer implementation. The results are applied in the analysis of a class of nonlinear time-varying singular RC networks. Robustness of the boundedness property of network response with respect to resistive elements is shown.

Original language	English (US)
Pages (from-to)	33-43
Number of pages	11
Journal	COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume	9
Issue number	1
DOIs	https://doi.org/10.1108/eb010324
State	Published - 1990
Externally published	Yes

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Electrical and Electronic Engineering
Applied Mathematics

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title = "Semi-definiteness of functional matrices and application in the analysis of singular RC circuits",

abstract = "A simple algebraic test applied to a specially constructed constant matrix is developed to test the semi-definiteness property of symmetric functional matrices. The simplicity of the algebraic test makes it very suitable for computer implementation. The results are applied in the analysis of a class of nonlinear time-varying singular RC networks. Robustness of the boundedness property of network response with respect to resistive elements is shown.",

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AB - A simple algebraic test applied to a specially constructed constant matrix is developed to test the semi-definiteness property of symmetric functional matrices. The simplicity of the algebraic test makes it very suitable for computer implementation. The results are applied in the analysis of a class of nonlinear time-varying singular RC networks. Robustness of the boundedness property of network response with respect to resistive elements is shown.

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JO - COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

JF - COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

IS - 1

ER -

Semi-definiteness of functional matrices and application in the analysis of singular RC circuits

Abstract

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