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

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.