Robust estimation of constant and time-varying parameters in nonlinear ordinary differential equation models

Journal of Nonparametric Statistics ◽

10.1080/10485252.2015.1042377 ◽

2015 ◽

Vol 27 (3) ◽

pp. 349-371 ◽

Author(s):

Tao Hu ◽

Yanping Qiu ◽

Hengjian Cui

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Robust Estimation ◽

Nonlinear Ordinary Differential Equation ◽

Time Varying ◽

Varying Parameters ◽

Differential Equation Models ◽

Time Varying Parameters

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Bayesian estimation of time-varying parameters in ordinary differential equation models with noisy time-varying covariates

Communications in Statistics - Simulation and Computation ◽

10.1080/03610918.2019.1565584 ◽

2019 ◽

pp. 1-16

Author(s):

Lixin Meng ◽

Jiwei Zhang ◽

Xue Zhang ◽

Guozhong Feng

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Bayesian Estimation ◽

Time Varying ◽

Varying Parameters ◽

Differential Equation Models ◽

Time Varying Parameters ◽

Time Varying Covariates ◽

Estimation Of Time

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Stochastic Differential Equation Models with Time-Varying Parameters

Continuous Time Modeling in the Behavioral and Related Sciences ◽

10.1007/978-3-319-77219-6_9 ◽

2018 ◽

pp. 205-238 ◽

Author(s):

Meng Chen ◽

Sy-Miin Chow ◽

Michael D. Hunter

Keyword(s):

Differential Equation ◽

Stochastic Differential Equation ◽

Time Varying ◽

Varying Parameters ◽

Differential Equation Models ◽

Time Varying Parameters

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Sieve estimation of constant and time-varying coefficients in nonlinear ordinary differential equation models by considering both numerical error and measurement error

The Annals of Statistics ◽

10.1214/09-aos784 ◽

2010 ◽

Vol 38 (4) ◽

pp. 2351-2387 ◽

Author(s):

Hongqi Xue ◽

Hongyu Miao ◽

Hulin Wu

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Measurement Error ◽

Nonlinear Ordinary Differential Equation ◽

Numerical Error ◽

Time Varying ◽

Varying Coefficients ◽

Sieve Estimation ◽

Differential Equation Models ◽

Time Varying Coefficients

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Robust estimation of parameters in nonlinear ordinary differential equation models

Journal of Systems Science and Complexity ◽

10.1007/s11424-015-4045-9 ◽

2015 ◽

Vol 29 (1) ◽

pp. 41-60 ◽

Author(s):

Yanping Qiu ◽

Tao Hu ◽

Baosheng Liang ◽

Hengjian Cui

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Robust Estimation ◽

Nonlinear Ordinary Differential Equation ◽

Estimation Of Parameters ◽

Differential Equation Models

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Robust Estimation for Ordinary Differential Equation Models

10.1111/j.1541-0420.2011.01577.x ◽

2011 ◽

Vol 67 (4) ◽

pp. 1305-1313 ◽

Author(s):

J. Cao ◽

L. Wang ◽

J. Xu

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Robust Estimation ◽

Differential Equation Models

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An IQC approach to robust estimation against perturbations of smoothly time-varying parameters

2008 47th IEEE Conference on Decision and Control ◽

10.1109/cdc.2008.4739030 ◽

2008 ◽

Author(s):

Joost Veenman ◽

Hakan Koroglu ◽

Carsten W. Scherer

Keyword(s):

Robust Estimation ◽

Time Varying ◽

Varying Parameters ◽

Time Varying Parameters

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A Comparison of Two-Stage Approaches for Fitting Nonlinear Ordinary Differential Equation Models with Mixed Effects

Multivariate Behavioral Research ◽

10.1080/00273171.2015.1123138 ◽

2016 ◽

Vol 51 (2-3) ◽

pp. 154-184 ◽

Author(s):

Sy-Miin Chow ◽

Jason J. Bendezú ◽

Pamela M. Cole ◽

Nilam Ram

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Nonlinear Ordinary Differential Equation ◽

Mixed Effects ◽

Two Stage ◽

Differential Equation Models

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Fitting Nonlinear Ordinary Differential Equation Models with Random Effects and Unknown Initial Conditions Using the Stochastic Approximation Expectation–Maximization (SAEM) Algorithm

Psychometrika ◽

10.1007/s11336-014-9431-z ◽

2014 ◽

Vol 81 (1) ◽

pp. 102-134 ◽

Author(s):

Sy-Miin Chow ◽

Zhaohua Lu ◽

Andrew Sherwood ◽

Hongtu Zhu

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Random Effects ◽

Stochastic Approximation ◽

Expectation Maximization ◽

Initial Conditions ◽

Nonlinear Ordinary Differential Equation ◽

Saem Algorithm ◽

Differential Equation Models

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Synchronization of Chaotic Systems with Uncertain Time-Varying Parameters

International Review of Mechanical Engineering (IREME) ◽

10.15866/ireme.v9i6.6792 ◽

2015 ◽

Vol 9 (6) ◽

pp. 568

Author(s):

Ahmad Al-Jarrah ◽

Mohammad Ababneh ◽

Suleiman Bani Hani ◽

Khalid Al-Widyan

Keyword(s):

Chaotic Systems ◽

Time Varying ◽

Varying Parameters ◽

Time Varying Parameters ◽

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Robust Control of a Class of Nonlinear Systems in Presence of Uncertain Time-Varying Parameters Associated with Diagonal Terms via Output Feedback

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.2020eap1005 ◽

2021 ◽

Vol E104.A (1) ◽

pp. 263-274

Author(s):

Sang-Young OH ◽

Ho-Lim CHOI

Keyword(s):

Robust Control ◽

Nonlinear Systems ◽

Output Feedback ◽

Time Varying ◽

Varying Parameters ◽

Time Varying Parameters ◽

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