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By studying the conditions of feedback linearization method, stability of the controller is also proved.
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Further, we show that a suitable feedback control on predator species can make prey species that is on the brink of extinction become globally stable, but under the conditions of small feedback control on predator, the prey species still extinct, whereas the predator species is stable at certain values.
This result is in line with previous findings reported by Taatgen [6] and colleagues, despite various small methodological differences between the experiments (i.e., in counterbalancing the order of conditions, the presence of feedback, and the number of lags, distractors, and targets).
We derive stability condition of the feedback error learning method based on the strict positiveness of the closed loop system.
The adaptation is required because the stability condition of the feedback controller depends of the accuracy of one of the estimated non-linear maps.
Routh–Hurwitz criterions are used for constructing the sufficient conditions of the linear feedback controller.
Perception of the /s-∫/ contrast was examined immediately prior to and following speech practice under conditions of altered auditory feedback.
Following a period of speech practice under conditions of altered auditory feedback, sensorimotor adaptation was investigated in terms of changes in both the production and perception of /s/.
Following a period of speech practice under conditions of altered auditory feedback, compensatory changes in speech production and perception were examined.
The finding suggested that the sensory and motor representations underlying speech production were tightly integrated, and that under conditions of altered auditory feedback, adaptive changes in both domains contributed to the maintenance of perceptual accuracy.
Following the period of speech practice under conditions of altered auditory feedback, a compensatory change in /s/-centroid frequency (i.e., an increase in centroid frequency that counteracted the auditory perturbation) was observed for a majority of subjects in both groups.
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