Convergence Analysis of the Guaranteed Parameter Estimation Algorithm for Models of One-Dimensional Chaotic Systems

DOI10.14529/MMP200213zbMath1455.93193OpenAlexW3081378141MaRDI QIDQ3387338

Anton Sergeevich Shelud'Ko

Publication date: 12 January 2021

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru551

zbMATH Keywords

nonlinear modelparameter estimationchaotic systeminterval estimate

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Estimation and detection in stochastic control theory (93E10) General methods in interval analysis (65G40)

Cites Work

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• Identification of nonlinear processes: guaranteed estimates
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• Extracting knowledge from time series. An introduction to nonlinear empirical modeling
• Determination of worst signals in problems of guaranteed estimation
• A new technique in systems analysis under interval uncertainty and ambiguity
• Box particle filtering for nonlinear state estimation using interval analysis
• On the definition of 'chaos'
• NONLINEAR DYNAMICAL SYSTEM IDENTIFICATION FROM UNCERTAIN AND INDIRECT MEASUREMENTS
• Approximation of the Solution Set for a System of Nonlinear Inequalities for Modelling a One-Dimensional Chaotic Process

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