Stability of discrete-time systems joined with a saturation operator on the state-space: generalized form of Liu-Michel's criterion

DOI10.1016/j.automatica.2011.01.041zbMath1219.93108OpenAlexW2102132930MaRDI QIDQ716155

Vimal Singh

Publication date: 19 April 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.01.041

zbMATH Keywords

nonlinear systemsdiscrete-time systemsasymptotic stabilityLyapunov methodsaturation arithmetic

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20)

Related Items (7)

On stability of discrete-time systems under nonlinear time-varying perturbations ⋮ 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 ⋮ Disturbance tolerance and rejection of discrete-time stochastic systems with saturating actuators ⋮ An improved stability criterion for fixed-point state-space digital filters using two's complement arithmetic ⋮ Parameter and state estimation algorithm for single-input single-output linear systems using the canonical state space models ⋮ Asymptotic stability of fixed-point state-space digital filters with saturation arithmetic and external disturbance: an IOSS approach

Cites Work

• Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic
• Dynamical systems with saturation nonlinearities: analysis and design
• Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to 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
• On companion systems with state saturation nonlinearity

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