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Limiting Behaviour in Parameter Optimal Iterative Learning Control

Abstract

This paper analyses the concept of LIMIT SET in Iterative Learning Control. The authors investigate the existence of STABLE and UNSTABLE parts of the Limit Set and demonstrate that there will often exist in practice. This illustrated via a 2-dimensional example where the convergence of the learning algorithm is analysed from the error's dynamical behaviour. These ideas are extended to N-dimensional cases by analogy and example

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