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Continuous time systems identification with unknown noise covariance

✍ Scribed by Arunabha Bagchi


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
303 KB
Volume
11
Category
Article
ISSN
0005-1098

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✦ Synopsis


Brief Paper Continuous Time Systems Identification with Unknown Noise Covariance* Syst~mes d'Identification de Temps Continu avec Co-variation de Bruit (ou Bruits) Inconnus Identifikation zeitkontinuierlicher Systeme mit unbekannter Rauschkovarianz ARUNABHA BAGCHII"

Summary--In identifying parameters of a continuous-time dynamical system, a difficulty arises when the observation noise covariance is unknown. The present paper solves this problem in the ease of a linear time-invariant system " with white noise affecting additively both the state and the observation. The problem is that the likelihood functional cannot be obtained when the observation noise covariance is unknown. A related procedure is suggested, however, and the estimates are obtained by finding roots of an appropriate functional. It is shown that the estimates obtained are consistent.


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## Abstract Wiener systems which consist of a dynamic linear block followed by a static nonlinear element have been used in numerous applications. In many cases, the system parameters are affected by changes in the environmental conditions. This paper describes a new approach to the on‐line identif