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By use of the technique of Chen  sufficient conditions are established for the strong consistency of the stochastic gradient (SG) algorithm for MIMO ARMAX stochastic systems without monitoring. This result is then used in conjunction with the method of disturbed adaptive controls introduced in [Caines, 1981; Caines and Lafortune, 1984]; hence it is shown that the SG algorithm generates strongly consistent parameter estimates while it is operating as a part of the SG algorithm of adaptive control of Goodwin, Ramadge and Caines .
Decision and Control, 1984. The 23rd IEEE Conference on (Volume:23 )
Date of Conference: Dec. 1984