Bibo stability of a class of linear time-variable semi-state systems and application in the analysis of rlc electrical networks

Vladimir B. Bajić

doi:10.1108/eb010030

Bibo stability of a class of linear time-variable semi-state systems and application in the analysis of rlc electrical networks

Vladimir B. Bajić

Research output: Contribution to journal › Review article › peer-review

1 Scopus citations

Abstract

Sufficient conditions for bounded input-bounded output (BIBO) stability are established for a class of time-variable linear semi-state systems. These conditions are expressed directly in terms of system parameters and reduce to testing of negative semi-definiteness of a time-varying matrix. Simple algebraic conditions convenient for the computer applications are derived for this purpose. It is shown how the results obtained can be applied in the analysis of linear time-variable RLC electrical networks.

Original language	English (US)
Pages (from-to)	129-135
Number of pages	7
Journal	COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume	6
Issue number	3
DOIs	https://doi.org/10.1108/eb010030
State	Published - Mar 1 1987
Externally published	Yes

ASJC Scopus subject areas

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

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10.1108/eb010030

Cite this

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abstract = "Sufficient conditions for bounded input-bounded output (BIBO) stability are established for a class of time-variable linear semi-state systems. These conditions are expressed directly in terms of system parameters and reduce to testing of negative semi-definiteness of a time-varying matrix. Simple algebraic conditions convenient for the computer applications are derived for this purpose. It is shown how the results obtained can be applied in the analysis of linear time-variable RLC electrical networks.",

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year = "1987",

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doi = "10.1108/eb010030",

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Bibo stability of a class of linear time-variable semi-state systems and application in the analysis of rlc electrical networks. / Bajić, Vladimir B.
In: COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 6, No. 3, 01.03.1987, p. 129-135.

Research output: Contribution to journal › Review article › peer-review

TY - JOUR

T1 - Bibo stability of a class of linear time-variable semi-state systems and application in the analysis of rlc electrical networks

AU - Bajić, Vladimir B.

PY - 1987/3/1

Y1 - 1987/3/1

N2 - Sufficient conditions for bounded input-bounded output (BIBO) stability are established for a class of time-variable linear semi-state systems. These conditions are expressed directly in terms of system parameters and reduce to testing of negative semi-definiteness of a time-varying matrix. Simple algebraic conditions convenient for the computer applications are derived for this purpose. It is shown how the results obtained can be applied in the analysis of linear time-variable RLC electrical networks.

AB - Sufficient conditions for bounded input-bounded output (BIBO) stability are established for a class of time-variable linear semi-state systems. These conditions are expressed directly in terms of system parameters and reduce to testing of negative semi-definiteness of a time-varying matrix. Simple algebraic conditions convenient for the computer applications are derived for this purpose. It is shown how the results obtained can be applied in the analysis of linear time-variable RLC electrical networks.

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

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Bibo stability of a class of linear time-variable semi-state systems and application in the analysis of rlc electrical networks

Abstract

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