On positive real transfer functions and the convergence of some recursive schemes

作者: L. Ljung

DOI: 10.1109/TAC.1977.1101552

关键词: Convergence (routing)Identification (information)Structure (category theory)Recursive partitioningApplied mathematicsMathematical optimizationMathematicsRecursive least squares filterRecursive Bayesian estimationTransfer functionμ operator

摘要: The convergence with probability one of a recently suggested recursive identification method by Landau is investigated. positive realness certain transfer function shown to play crucial role, both for the proof and itself. A completely analogous analysis can be performed also extended least squares self-tuning regulator Astrom Wittenmark. Explicit conditions all these schemes are given. more general structure discussed, as well relations other algorithms.

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