Abstract
It has been established by Bao, Lin, and Sontag (2000) that, for neutrally stable discrete-time linear systems subject to actuator saturation, finite gain l/sub p/ stabilization can be achieved by linear output feedback, for every p/spl isin/(1,/spl infin/] except p=1. An explicit construction of the corresponding feedback laws was given. The feedback laws constructed also resulted in a closed-loop system that is globally asymptotically stable. This note complements the results of Bao, Lin, and Sontag (2000) by showing that they also hold for the case of p=1. In establishing our results for p=1, we also allow the presence of certain additional external disturbance.
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