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A new parameter estimation method via center manifold theory with application to unknown parameter estimation in a chaos system

Noboru Sakamoto, Satoshi Yamagishi, Ryu Fujimoto, Branislav Rehak
This report presents a new parameter estimation method for a large class of nonlinear ordinary differential systems based on center manifold theory and nonlinear Luenberger observer. A numerical simulation shows that an unknown parameter in Lorenz system is well-estimated by this estimator. Unlike the approach using chaos synchronization, the estimator design does not depend on particular property of systems.
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