An improved stability criterion for fixed-point state-space digital filters using two's complement arithmetic

DOI10.1016/j.automatica.2011.09.054zbMath1244.93170OpenAlexW2113287464MaRDI QIDQ445076

Zhugang Yuan, Tao Shen, Xiao-Hong Wang

Publication date: 24 August 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.09.054

zbMATH Keywords

stabilitynonlinear systemsdigital filterssaturation nonlinearity

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Discrete-time control/observation systems (93C55) Stochastic stability in control theory (93E15)

Cites Work

• Comments on ``Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic
• Author's reply to ``Comments on `Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic'\,
• Stability of discrete-time systems joined with a saturation operator on the state-space: generalized form of Liu-Michel's criterion
• Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic
• A new stability criterion for fixed-point state-space digital filters using two's complement arithmetic
• Stability analysis of a class of digital filters utilizing single saturation nonlinearity
• Elimination of overflow oscillations in direct form digital filters using saturation arithmetic
• Digital filter realizations without overflow oscillations
• The zero-input response of digital filters using saturation arithmetic
• Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters
• A complete stability analysis of planar discrete-time linear systems under saturation
• A separation theorem for finite precision digital filters
• Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space $ $
• Stability of linear discrete dynamics employing state saturation arithmetic

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