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Analysis of Recursive Stochastic Algorithms
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1977 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 22, no 4, 551-575 p.Article in journal (Refereed) Published
Abstract [en]

Recursive algorithms where random observations enter are studied in a fairly general framework. An important feature is that the observations my depend on previous "outputs" of the algorithm. The considered class of algorithms contains, e.g., stochastic approximation algorithm, recursive identification algorithm, and algorithms for adaptive control of linear systems. It is shown how a deterministic differential equation can be associated with the algorithm. Problems like convergence with probability one, possible convergence points and asymptotic behavior of the algorithm can all be studied in terms of this differential equation. Theorems stating the precise relationships between the differential equation and the algorithm are given as well as examples of applications of the results to problems in identification and adaptive control.

Place, publisher, year, edition, pages
IEEE Control Systems Society , 1977. Vol. 22, no 4, 551-575 p.
Keyword [en]
Adaptive control, Linear systems, Parameter estimation, Recursive estimation, Stochastic approximation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-100857DOI: 10.1109/TAC.1977.1101561OAI: oai:DiVA.org:liu-100857DiVA: diva2:664045
Available from: 2013-11-13 Created: 2013-11-13 Last updated: 2017-12-06

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Ljung, Lennart

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