Estimation of model parameters from time series by OPCL auto-synchronization

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 6, 2004, Pages 2133-2141

  Grosu, Ioan ^a  

^a GRIGORE T POPA UNIVERSITY OF MEDICINE AND PHARMACY   (Romania)

Author keywords

Global minimum; OPCL; Parameter estimation; System identification

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; MATRIX ALGEBRA; PARAMETER ESTIMATION; SET THEORY; TIME SERIES ANALYSIS;

DYNAMIC SYSTEMS; GLOBAL MINIMUM; OPCL; SLAVE SYSTEMS;

SYNCHRONIZATION;

EID: 13844296466     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404010497     Document Type: Article

References (17)

1. Dedieu, H. & Ogorzolek, M. J. [1997] "Identifiability and identification of chaotic systems based on adaptive synchronization," IEEE Tr. CAS I 44, 948-962.
2. Grosu, I. [1997] "Robust synchronization," Phys. Rev. E56, 3709-3711.
3. Hayashi, K. & Sakamoto, N. [1986] Dynamic Analysis of Enzyme Systems (Springer-Verlag).
4. Horbelt, W. [2001] PhD thesis, University of Freiburg.
5. Jackson, E. A. & Grosu, I. [1995] "An open-plus-closed-loop (OPCL) control of complex dynamic systems," Physica D85, 1-9.
6. Ljung, L. [1999] System Identification: Theory for the User, 2nd edition (Prentice Hall).
7. Maybhate, A. & Amritkar, R. E. [1999] "Use of synchronization and adaptive control in parameter estimation from a time series," Phys. Rev. E59, 284-293.
8. Maybhate, A. & Amritkar, R. E. [2000] "Dynamic algorithm for parameter estimation and its applications," Phys. Rev. E61, 6461-6470.
9. Mosekilde, E., Maistrenko, Y. & Postnov, D. [2002] Chaotic Synchronization. Applications to Living Systems (World Scientific, Singapore).
10. Oprisan, S. A. [2002] "An application of the least-squares method to system parameters extraction from experimental data," Chaos 12, 27-32.
11. Parlitz, U. [1996] "Estimating model parameters from time series by autosynchronization," Phys. Rev. Lett. 76, 1232-1235.
12. Parlitz, U., Junge, L. & Kocarev, L. [1996] "Synchronization-based parameter estimation from time series," Phys. Rev. E54, 6253-6259.
13. Pikovsky, A., Rosenblum, M. & Kurths, J. [2001] Synchronization. A Universal Concept in Nonlinear Science (Cambridge University Press).
14. Sakaguchi, H. [2002] "Parameter evaluation from time sequences using chaos synchronization," Phys. Rev. E65, 027201-027204.
15. Sakai, K. [2001] Nonlinear Dynamics and Chaos in Agricultural Systems (Elsevier).
16. Timmer, J., Rust, H., Horbelt, W. & Voss, H. U. [2000] "Parametric, nonparametric and parametric modeling of a chaotic circuit time series," Phys. Lett. A274, 123-134.
17. Voss, H. U. & Kurths, J. [1997] "Reconstruction of nonlinear time delay models from data by the use of optimal transformations," Phys. Lett. A234, 336-344.