New Criteria for Global Asymptotic Stability of Direct-Form Digital Filters Utilizing Single Saturation Nonlinearity
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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.
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asymptotic stability, difference equations, discrete-time dynamical systems, finite word length effects, limit cycles, Lyapunov method
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0101 mathematics, 01 natural sciences
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Volume
17
Issue
9
Start Page
1281
End Page
1290
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