A note on the convergence of a class of adaptive optimal identifiers

Laurent Bako

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arXiv · 2306.09840

A note on the convergence of a class of adaptive optimal identifiers

Laurent Bako

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Abstract

This paper proposes a unifying framework for the convergence analysis of a class of adaptive optimal identifiers. The considered class of identifiers is constructed from the sequence of minimizing sets of a family of objective functions. For the purpose of the analysis we introduce a generalized version of the classical persistence of excitation condition. Based on this an Input-to-State-Stability (ISS)-type of property is derived for the studied class of adaptive estimators.

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Laurent Bako. 2023-06-16. A note on the convergence of a class of adaptive optimal identifiers. https://arxiv.org/abs/2306.09840

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