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

Glen W. Mabey, Tamal Bose, Mei Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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 languageEnglish (US)
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
Pages556-559
Number of pages4
DOIs
StatePublished - 2005
Externally publishedYes
EventIEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan
Duration: May 23 2005May 26 2005

Other

OtherIEEE International Symposium on Circuits and Systems 2005, ISCAS 2005
CountryJapan
CityKobe
Period5/23/055/26/05

Fingerprint

Digital filters
Asymptotic stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Mabey, G. W., Bose, T., & Chen, M. (2005). Stability of a shift-variant 2-D state-space digital filter. In Proceedings - IEEE International Symposium on Circuits and Systems (pp. 556-559). [1464648] https://doi.org/10.1109/ISCAS.2005.1464648

Stability of a shift-variant 2-D state-space digital filter. / Mabey, Glen W.; Bose, Tamal; Chen, Mei.

Proceedings - IEEE International Symposium on Circuits and Systems. 2005. p. 556-559 1464648.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mabey, GW, Bose, T & Chen, M 2005, Stability of a shift-variant 2-D state-space digital filter. in Proceedings - IEEE International Symposium on Circuits and Systems., 1464648, pp. 556-559, IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005, Kobe, Japan, 5/23/05. https://doi.org/10.1109/ISCAS.2005.1464648
Mabey GW, Bose T, Chen M. Stability of a shift-variant 2-D state-space digital filter. In Proceedings - IEEE International Symposium on Circuits and Systems. 2005. p. 556-559. 1464648 https://doi.org/10.1109/ISCAS.2005.1464648
Mabey, Glen W. ; Bose, Tamal ; Chen, Mei. / Stability of a shift-variant 2-D state-space digital filter. Proceedings - IEEE International Symposium on Circuits and Systems. 2005. pp. 556-559
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