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Original Articles

New criteria for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity

Pages 1281-1290 | Received 27 Mar 2009, Accepted 15 Nov 2009, Published online: 09 Feb 2010
 

Abstract

A new sufficient condition in the form of a state-space criterion for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity is presented. An alternative sufficient condition in the form of a matrix frequency-domain inequality is also presented. Examples show the effectiveness of the present criteria.

2000 Mathematics Subject Classification::

Acknowledgement

The author is grateful for the constructive comments and suggestions of the learned referee.

Notes

1. For a sample of literature on recent advances in difference equations and their applications, the reader is referred to Citation1-6 Citation8–12Citation14–16Citation18 Citation19 Citation23 Citation25 Citation27–29Citation33 Citation35 and the references therein.

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