Comments on 'Diagonal recurrent neural networks for dynamic systems control'. Reproof of theorems 2 and 4 [and reply]

摘要

In their original paper, C.-C. Ku and K.Y. Lee (ibid., vol.6, p.144-56, 1995) designed a diagonal recurrent neural network architecture for control systems. Liang asserts that a condition assumed in the proof of its convergence does not necessarily apply, and presents alternative theorems and proofs. Lee replies that Liang has misunderstood the original paper, and also that he made mistakes in his new proofs, but acknowledges that the original paper did not go into full detail about how a limitation would be implemented. Lee also presents a revision for the case of time-varying weights.