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It is fairly well known that there are fundamental differences between adaptive control of continuous-time and discrete-time nonlinear systems. In fact, even for the seemingly simple single-input single-output control system yt+1=θ1f(yt)+ut+wt+1 with a scalar unknown parameter θ1 and noise disturbance {wt}, and with a known function f(⋅) having possible nonlinear growth rate characterized by |f(x)|=Θ(|x|b)...
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