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In this note, the local output regulation problem is considered. The presented results answer the question: Given a controller solving the local output regulation problem, how do you estimate the set of admissible initial conditions for which this controller makes the regulated output converge to zero? The results are illustrated by a disturbance rejection problem for the transitional oscillator with a rotational actuator (TORA) system.
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Pavlov et al. (2004) studied this question.
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