Global Asymptotic Stability of 2-D Digital Filters With a Saturation Operator on the State-Space

This brief investigates the global asymptotic stability (GAS) problem of two-dimensional (2-D) digital filters represented by Roesser model subject to saturation nonlinearities. A new sufficient GAS condition for the underlying 2-D system is derived. The condition is compared with several existing s...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 67; no. 11; pp. 2742 - 2746
Main Authors Kandanvli, V. Krishna Rao, Kar, Haranath
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Asymptotic properties
Asymptotic stability
Digital filters
Dimensional stability
Global asymptotic stability
overflow oscillation
Saturation
saturation arithmetic
Stability criteria
Symmetric matrices
Two dimensional displays
Two dimensional models
two-dimensional digital filter
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Summary:This brief investigates the global asymptotic stability (GAS) problem of two-dimensional (2-D) digital filters represented by Roesser model subject to saturation nonlinearities. A new sufficient GAS condition for the underlying 2-D system is derived. The condition is compared with several existing stability conditions.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2020.2980238