Phat, V. N.; Jiang, J. Stabilization of nonlinear discrete-time systems via a digital communication channel. (English) Zbl 1127.93052 Int. J. Math. Math. Sci. 2005, No. 1, 43-56 (2005). Summary: 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. Cited in 3 Documents MSC: 93D15 Stabilization of systems by feedback 93C10 Nonlinear systems in control theory 93C57 Sampled-data control/observation systems PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{J. Jiang}, Int. J. Math. Math. Sci. 2005, No. 1, 43--56 (2005; Zbl 1127.93052) Full Text: DOI EuDML