Stability analysis for 2-D systems with interval time-varying delays and saturation nonlinearities

DOI10.1016/J.SIGPRO.2010.02.011zbMath1194.94069OpenAlexW2002413996MaRDI QIDQ985553

Shyh-Feng Chen

Publication date: 6 August 2010

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sigpro.2010.02.011

zbMATH Keywords

nonlinear systemslinear matrix inequalityasymptotic stabilitytwo-dimensional systemsdelay-dependencesaturation nonlinearities

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (11)

Reliable \(H_\infty\) control of 2-D continuous nonlinear systems with time varying delays ⋮ Stabilization and controller design of 2D discrete switched systems with state delays under asynchronous switching ⋮ Output tracking control for 2‐D discrete systems with actuator failures ⋮ Robust state estimation for two-dimensional stochastic time-delay systems with missing measurements and sensor saturation ⋮ LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation / overflow nonlinearities ⋮ Delay‐dependent Stability and Static Output Feedback Control of 2‐D Discrete Systems with Interval Time‐varying Delays ⋮ \(H_\infty\) control for 2-D time-delay systems with randomly occurring nonlinearities under sensor saturation and missing measurements ⋮ State feedback \(H_\infty\) control for 2-D switched delay systems with actuator saturation in the second FM model ⋮ \(H_\infty\) performance analysis of 2D continuous time-varying delay systems ⋮ LMI-based criterion for the robust stability of 2D discrete state-delayed systems using generalized overflow nonlinearities ⋮ Delay-range dependent \(H_\infty\) control for uncertain 2D-delayed systems

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• \(H_\infty\) control and filtering of two-dimensional systems
• Robust guaranteed cost control for a class of two-dimensional discrete systems with shift-delays
• \(H_{\infty}\) filtering of 2-D discrete state-delayed systems
• Robust stability of discrete-time state-delayed systems employing generalized overflow nonlinearities
• Delay-dependent robust \(H_{\infty }\) filtering for uncertain 2-D state-delayed systems
• A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic
• Robust stability of discrete-time state-delayed systems with saturation nonlinearities: Linear matrix inequality approach
• Output feedback \(H_{\infty}\) control for 2-D state-delayed systems
• Two-dimensional linear systems
• Dynamical systems with saturation nonlinearities: analysis and design
• Robust stability and stabilisation of 2d discrete state-delayed systems
• Doubly-indexed dynamical systems: State-space models and structural properties
• Lyapunov stability of two-dimensional digital filters with overflow nonlinearities
• Linear Matrix Inequalities in System and Control Theory
• Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities
• Robust filtering for 2-D state-delayed systems with NFT uncertainties
• Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities
• Stability analysis of 2-D digital filters with saturation arithmetic: an LMI approach
• Induced l/sub 2/ and generalized H/sub 2/ filtering for systems with repeated scalar nonlinearities

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