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On the identification of time-varying dynamic systems by nonparametric procedures

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1 Author(s)
A. A. Georgiev ; Dept. of Biometry, Med. Univ. of South Carolina, Charleston, SC, USA

The problem of identification of the unknown time-varying parameter in linear dynamic systems is considered. Nearest-neighbor procedures, based on the estimation of the state and its derivative, are presented. No conditions concerning the functional form of the time-varying parameter of the systems are made. If the state of the system has s derivatives, then the rate of convergence of the algorithm is O(n-(s-1)/(1+2s)) in probability

Published in:

IEEE Transactions on Automatic Control  (Volume:34 ,  Issue: 2 )