On-line almost-sure parameter estimation for partially observed discrete-time linear systems with known noise characteristics
Date
2002
Authors
Elliott, R.
Ford, J.
Moore, J.
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Journal article
Citation
International Journal of Adaptive Control and Signal Processing, 2002; 16(6):435-453
Statement of Responsibility
Robert J. Elliott, Jason J. Ford, John B. Moore
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Abstract
<jats:title>Abstract</jats:title><jats:p>In this paper we discuss parameter estimators for fully and partially observed discrete‐time linear stochastic systems (in state‐space form) with known noise characteristics. We propose finite‐dimensional parameter estimators that are based on estimates of summed functions of the state, rather than of the states themselves. We limit our investigation to estimation of the state transition matrix and the observation matrix. We establish almost‐sure convergence results for our proposed parameter estimators using standard martingale convergence results, the Kronecker lemma and an ordinary differential equation approach. We also provide simulation studies which illustrate the performance of these estimators. Copyright © 2002 John Wiley & Sons, Ltd.</jats:p>
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The definitive version may be found at www.wiley.com