Local Halanay's Inequality for Local Exponential Stabilization
Résumé
We provide a local version of an approach to proving asymptotic stability based on Halanay’s inequality. Our result is amenable to nonlinear systems that contain input and state delays. It provides robustness estimates for systems containing actuator uncertainty, in the sense of input-to-state stability. Our numerical example illustrates how our method leads to useful bounds on the allowable uncertainties and on the basin of attraction.
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