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Quantized passive filtering for switched delayed neural networks

Youmei Zhou, Yajuan Liu, Jianping Zhou, Zhen Wang

2021Nonlinear Analysis Modelling and Control16 citationsDOIOpen Access PDF

Abstract

The issue of quantized passive filtering for switched delayed neural networks with noise interference is studied in this paper. Both arbitrary and semi-Markov switching rules are taken into account. By choosing Lyapunov functionals and applying several inequality techniques, sufficient conditions are proposed to ensure the filter error system to be not only exponentially stable, but also exponentially passive from the noise interference to the output error. The gain matrix for the proposed quantized passive filter is able to be determined through the feasible solution of linear matrix inequalities, which are computationally tractable with the help of some popular convex optimization tools. Finally, two numerical examples are given to illustrate the usefulness of the quantized passive filter design methods.

Topics & Concepts

Control theory (sociology)Filter (signal processing)Noise (video)Convex optimizationLyapunov functionInterference (communication)MathematicsLinear matrix inequalityArtificial neural networkMarkov chainFilter designMatrix (chemical analysis)Computer scienceExponential stabilityRegular polygonMathematical optimizationTelecommunicationsNonlinear systemArtificial intelligencePhysicsStatisticsQuantum mechanicsComposite materialMaterials scienceImage (mathematics)Computer visionGeometryControl (management)Channel (broadcasting)Neural Networks Stability and SynchronizationStability and Control of Uncertain SystemsControl Systems and Identification
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