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Original Articles

Interval parameter estimation under model uncertainty

Pages 225-237 | Published online: 16 Feb 2007

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Muyideen Abdulkareem, Norhisham Bakhary, Abideen Ganiyu, Olukotun Nathaniel, Taha M. Jassam & Ramez A. Al-Mansob. (2021) Consideration of uncertainty in damage detection using interval analysis wavelet without baseline data. Journal of Structural Integrity and Maintenance 6:2, pages 99-109.
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Wei Li & Xiaoli tian. (2011) Fault Detection in Discrete Dynamic Systems with Uncertainty Based on Interval Optimization. Mathematical Modelling and Analysis 16:4, pages 549-557.
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Articles from other publishers (22)

V. I. Erokhin, A. P. Kadochnikov & S. V. Sotnikov. (2023) Sufficient Conditions for the Significance of the Coefficients of Linear Models and the Polynomial-Time Complexity of Their Determination from Data with Interval Uncertainty. Automation and Remote Control 83:12, pages 1886-1896.
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Anatoli Juditsky, Georgios Kotsalis & Arkadi Nemirovski. (2022) Tight computationally efficient approximation of matrix norms with applications. Open Journal of Mathematical Optimization 3, pages 1-38.
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Ramin Ghiasi, Mohammad Noori, Sin-Chi Kuok, Ahmed Silik, Tianyu Wang, Francesc Pozo & Wael A. Altabey. (2022) Structural Assessment under Uncertain Parameters via the Interval Optimization Method Using the Slime Mold Algorithm. Applied Sciences 12:4, pages 1876.
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M. Abdulkareem, A. Ganiyu, O. Nathaniel, I. Mallum & W. Dunu. (2021) Interval analysis of mode shapes to identify damage in beam structures. Materialwissenschaft und Werkstofftechnik 52:10, pages 1064-1072.
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Ramin Ghiasi, Mohammad Noori, Wael A. Altabey, Ahmed Silik, Tianyu Wang & Zhishen Wu. (2021) Uncertainty Handling in Structural Damage Detection via Non-Probabilistic Meta-Models and Interval Mathematics, a Data-Analytics Approach. Applied Sciences 11:2, pages 770.
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Chong Wang. (2019) Evidence-theory-based uncertain parameter identification method for mechanical systems with imprecise information. Computer Methods in Applied Mechanics and Engineering 351, pages 281-296.
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Wang Xiaoguang, He Weiliang & Zhao Linggong. (2019) Novel Interval Parameter Identification Method Using Augmented Fourier Series-Based Polynomial Surrogate Model. IEEE Access 7, pages 70862-70875.
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Muyideen Abdulkareem, Norhisham Bakhary, Mohammadreza Vafaei, Norhazilan Md Noor & Khairul H. Padil. (2018) Non-probabilistic wavelet method to consider uncertainties in structural damage detection. Journal of Sound and Vibration 433, pages 77-98.
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Chong Wang & Hermann G. Matthies. (2018) Novel interval theory-based parameter identification method for engineering heat transfer systems with epistemic uncertainty. International Journal for Numerical Methods in Engineering 115:6, pages 756-770.
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Chong Wang, Hermann G. Matthies & Zhiping Qiu. (2017) Optimization-based inverse analysis for membership function identification in fuzzy steady-state heat transfer problem. Structural and Multidisciplinary Optimization 57:4, pages 1495-1505.
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Khairul H. Padil, Norhisham Bakhary & Hong Hao. (2017) The use of a non-probabilistic artificial neural network to consider uncertainties in vibration-based-damage detection. Mechanical Systems and Signal Processing 83, pages 194-209.
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Marco Casini, Andrea Garulli & Antonio Vicino. (2014) Feasible Parameter Set Approximation for Linear Models with Bounded Uncertain Regressors. IEEE Transactions on Automatic Control 59:11, pages 2910-2920.
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Xiaojun Wang, Chen Yang, Lei Wang, Haifeng Yang & Zhiping Qiu. (2012) Membership-set identification method for structural damage based on measured natural frequencies and static displacements. Structural Health Monitoring 12:1, pages 23-34.
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Elena K. Kostousova. 2013. System Modeling and Optimization. System Modeling and Optimization 165 176 .
Elena K. Kostousova. 2013. Differential and Difference Equations with Applications. Differential and Difference Equations with Applications 465 473 .
Marco Casini, Andrea Garulli & Antonio Vicino. (2012) Bounding nonconvex feasible sets in set membership identification: OE and ARX models with quantized information. IFAC Proceedings Volumes 45:16, pages 1191-1196.
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V. Cerone, D. Piga & D. Regruto. (2012) Set-Membership Error-in-Variables Identification Through Convex Relaxation Techniques. IEEE Transactions on Automatic Control 57:2, pages 517-522.
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E. K. Kostousova. (2011) On polyhedral estimates for reachable sets of discrete-time systems with bilinear uncertainty. Automation and Remote Control 72:9, pages 1841-1851.
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M. Kieffer & E. Walter. (2011) Guaranteed estimation of the parameters of nonlinear continuous-time models: Contributions of interval analysis. International Journal of Adaptive Control and Signal Processing 25:3, pages 191-207.
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Shou-ju Li, Li-juan Cao, Zi-chang Shangguan & Bo Liu. (2010) Parameter identification and pressure control of dynamic system in shield tunneling using least squares method. Journal of Coal Science and Engineering (China) 16:3, pages 256-261.
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F. L. Chernousko. 2010. Coping with Uncertainty. Coping with Uncertainty 141 161 .
S. A. Nazin & B. T. Polyak. (2007) Ellipsoid-based parametric estimation in the linear multidimensional systems with uncertain model description. Automation and Remote Control 68:6, pages 993-1005.
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