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Authors' reply [to comments on 'Asymptotic state tracking in a class of nonlinear systems via learning-based inversion']

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2 Author(s)
Young-Hoon Kim ; Adv. Technol. Group, San Jose, CA, USA ; In-Joong Ha

Jian-Xin Xu and Jing Xu (see ibid., p.720, 2006) made several remarks on the results by the authors (Young-Hoon Kim and In-Joon Ha) (see ibid., vol.45, no11, p.2011-27, 2000) and have pointed out an error therein as summarized here. 1) Possibly long waiting time could make the proposed learning controller less efficient than other learning controllers. 2) There is a derivation error in the proof of Theorem 6, which may lead to the revision of the theorem. 3) The uniqueness of solution was assumed implicitly in the proof of Yoshizawa's result (Yoshizawa, 1975). In this context, the theoretical analysis conducted by Young-Hoon Kim and In-Joon Ha (2000) may be valid only under the assumption of unique periodic solution. The authors reply to all three points.

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Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 4 )