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In , global convergence for a stochastic adaptive control based on modified least-squares algorithms has been established. However, the proof of Lemma 3.4 in  is questionable. A similar question existed in the proof of in . Without using this conclusion, the present note attempts to establish global convergence for a discrete-time stochastic adaptive control and prediction based on slightly modified least-squares algorithms for linear time-invariant discrete-time systems having general delay and colored noise.