Abstract
We deal with the stabilization problem for a class of nonlinear discrete‐time systems via a digital communication channel. We consider the case when the control input is to be transmitted via communication channels with a bit‐rate constraint. Under an appropriate growth condition on the nonlinear perturbation, we establish sufficient conditions for the global and local stabilizability of semilinear and nonlinear discrete‐time systems, respectively. A constructive method to design a feedback stabilizing controller is proposed.
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