Stability of a shift-variant 2-D state-space digital filter

Glen W. Mabey; Tamal Bose; Mei Chen

doi:10.1109/ISCAS.2005.1464648

Stability of a shift-variant 2-D state-space digital filter

Glen W. Mabey, Tamal Bose, Mei Chen

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

1 Scopus citations

Abstract

Sufficient conditions for stability of time-varying 1-D systems are already well established. This work treats the 2-D case in an approach that parallels that of the 1-D, yet at the same time reveals the heightened complexity of the extension. When "double exponential stability" is guaranteed for a certain set of homogeneous equations, the 2-D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.

Original language	English (US)
Article number	1464648
Pages (from-to)	556-559
Number of pages	4
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
DOIs	https://doi.org/10.1109/ISCAS.2005.1464648
State	Published - 2005
Externally published	Yes
Event	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: May 23 2005 → May 26 2005

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/ISCAS.2005.1464648

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abstract = "Sufficient conditions for stability of time-varying 1-D systems are already well established. This work treats the 2-D case in an approach that parallels that of the 1-D, yet at the same time reveals the heightened complexity of the extension. When {"}double exponential stability{"} is guaranteed for a certain set of homogeneous equations, the 2-D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.",

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doi = "10.1109/ISCAS.2005.1464648",

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journal = "Proceedings - IEEE International Symposium on Circuits and Systems",

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note = "IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 ; Conference date: 23-05-2005 Through 26-05-2005",

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T1 - Stability of a shift-variant 2-D state-space digital filter

AU - Mabey, Glen W.

AU - Bose, Tamal

AU - Chen, Mei

PY - 2005

Y1 - 2005

N2 - Sufficient conditions for stability of time-varying 1-D systems are already well established. This work treats the 2-D case in an approach that parallels that of the 1-D, yet at the same time reveals the heightened complexity of the extension. When "double exponential stability" is guaranteed for a certain set of homogeneous equations, the 2-D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.

AB - Sufficient conditions for stability of time-varying 1-D systems are already well established. This work treats the 2-D case in an approach that parallels that of the 1-D, yet at the same time reveals the heightened complexity of the extension. When "double exponential stability" is guaranteed for a certain set of homogeneous equations, the 2-D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.

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DO - 10.1109/ISCAS.2005.1464648

M3 - Conference article

AN - SCOPUS:67649099974

SN - 0271-4310

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EP - 559

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

M1 - 1464648

T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005

Y2 - 23 May 2005 through 26 May 2005

ER -

Stability of a shift-variant 2-D state-space digital filter

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