Modified Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Two's Complement Arithmetic

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Date

2010

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Pergamon-elsevier Science Ltd

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Abstract

A criterion for the global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic is presented. The criterion is a modified form of a well-known criterion due to Mills, Mullis, and Roberts. The criterion is in the form of linear matrix inequality and, hence, computationally tractable. An example shows the effectiveness of the modified criterion. (C) 2009 Elsevier Ltd. All rights reserved.

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Keywords

Asymptotic stability, Digital filters, Discrete-time dynamical systems, Finite word length effects, Lyapunov method, Nonlinear systems, Asymptotic stability in control theory, asymptotic stability, digital filters, Discrete-time control/observation systems, Lyapunov method, finite word length effects, Nonlinear systems in control theory, discrete-time dynamical systems, nonlinear systems

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Fields of Science

0209 industrial biotechnology, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

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Q1

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OpenCitations Citation Count
26

Source

Automatica

Volume

46

Issue

2

Start Page

475

End Page

478

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CrossRef : 21

Scopus : 31

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31

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25

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2

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