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Robust stabilization for nonlinear discrete-time systems. (English) Zbl 1063.93044
Robust state feedback stabilization of nonlinear discrete-time systems with sector-bound nonlinearities is considered. Sufficient conditions in terms of linear matrix inequalities are presented for stabilizability. Then, the results are extended to the case where there is a delayed state component in the system dynamics. Three simple examples are given for illustration.

MSC:
93D21 Adaptive or robust stabilization
93B51 Design techniques (robust design, computer-aided design, etc.)
93C55 Discrete-time control/observation systems
93C10 Nonlinear systems in control theory
15A39 Linear inequalities of matrices
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References:
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