Lecture 5 : input - to - state stability
نویسنده
چکیده
In this lecture we introduce a useful tool to study the robustness against disturbances of nonlinear systems. Our starting point is the observation that, given a globally asymptotically stable equilibrium, a small enough perturbation of the vector field should not change the phase portrait much, and hence should not destroy the stability properties. However, how large can the perturbations be before stability is lost? In general, we would also like to understand how far from the equilibrium our solutions may end up as a function of the size of the disturbance. The treatment corresponds to selected parts of Chapter 4 in [1].
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