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Exponential stabilizability and robustness analysis for discrete-time nonlinear systems. (English) Zbl 1122.93054

Summary: We derive some results on the exponential stabilizability and robustness analysis for discrete-time nonlinear control systems. Using the discrete Gronwall’s inequality, we also derive an important absolute estimate for the robustness index of the controlled discrete-time nonlinear system.

MSC:

93C55 Discrete-time control/observation systems
93D09 Robust stability
93D15 Stabilization of systems by feedback
93D21 Adaptive or robust stabilization
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