Journal
PHYSICAL REVIEW E
Volume 83, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.83.036202
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Funding
- National Natural Science Foundation of China [61070209, 60821001]
- Foundation for the Author of National Excellent Doctoral Dissertation of PR China (FANEDD) [200951]
- National Basic Research Program of China (973 Program) [2007CB310704]
- Specialized Research Fund for the Doctoral Program of Higher Education [200800131028]
- Ministry of Education of China [NCET-10-0239]
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We study the problem of synchronization-based parameters identification of dynamical systems from time series. Through theoretical analysis and numerical examples, we show that some recent research reports on this issue are not perfect or even incorrect. Long-time full rank and finite-time full rank conditions of Gram matrix are pointed out, which are sufficient for parameters identification of dynamical systems. The influence of additive noise on the proposed parameter identifier is also investigated. The mean filter is used to suppress the estimation fluctuation caused by the noise.
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