Stability of a time-varying 2-D state-space digital filter

Glen W. Mabey, Tamal Bose, Todd Moon

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

1 Scopus citations

Abstract

The problem of establishing sufficient conditions for a time-varying 2-D Givone-Roesser model is studied. The analysis shows that the Lyapunov condition used to guarantee stability of 1-D state-space systems is useful for this problem, but not applicable in a straightforward manner. The elimination of coupling in one of the two directions between the horizontal and vertical state vectors of the Givone-Roesser model does complement the Lyapunov approach such that BIBO stability is achieved.

Original languageEnglish (US)
Title of host publicationConference Record - Asilomar Conference on Signals, Systems and Computers
EditorsM.B. Matthews
Pages2126-2130
Number of pages5
Volume2
Publication statusPublished - 2004
Externally publishedYes
EventConference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers - Pacific Grove, CA, United States
Duration: Nov 7 2004Nov 10 2004

Other

OtherConference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers
CountryUnited States
CityPacific Grove, CA
Period11/7/0411/10/04

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ASJC Scopus subject areas

  • Engineering(all)

Cite this

Mabey, G. W., Bose, T., & Moon, T. (2004). Stability of a time-varying 2-D state-space digital filter. In M. B. Matthews (Ed.), Conference Record - Asilomar Conference on Signals, Systems and Computers (Vol. 2, pp. 2126-2130)