Stability analysis for a class of digital filters with single saturation nonlinearity

DOI10.1016/J.AUTOMATICA.2010.09.008zbMath1205.93129OpenAlexW2006610275MaRDI QIDQ624965

Zhugang Yuan, Tao Shen, Xiao-Hong Wang

Publication date: 11 February 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2010.09.008

zbMATH Keywords

stabilitynonlinear systemsdigital filterssaturation nonlinearity

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20)

Related Items (4)

Stability analysis for digital filters with multiple saturation nonlinearities ⋮ \(\ell_2 -\ell_\infty\) suppression of limit cycles in interfered digital filters with generalized overflow nonlinearities ⋮ Improved criterion for the elimination of overflow oscillations in digital filters with external disturbance ⋮ Novel criterion for stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities

Uses Software

• MPT

Cites Work

• Analysis of discrete-time piecewise affine and hybrid systems
• Stability analysis of a class of digital filters utilizing single saturation nonlinearity
• Stability analysis of piecewise-affine systems using controlled invariant sets
• Elimination of overflow oscillations in direct form digital filters using saturation arithmetic
• Lyapunov-based proof of Jury - Lee's criterion: Some appraisals
• Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• A separation theorem for finite precision digital filters
• Stability of linear discrete dynamics employing state saturation arithmetic
• Stability analysis of piecewise discrete-time linear systems

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