
28 Cyber-Physical Systems: From Theory to Practice
1.3.5 ROBUSTNESS
In this section, we present conditions on the data of a hybrid inclusion that guarantee that small per-
turbations do not significantly change the behavior of solutions. In Goebel, Sanfelice, and Teel [1],
these conditions are shown to be key in assuring that perturbed solutions are close to some unper-
turbed solution and that asymptotic stability is robust to small perturbations. Robustness to small
perturbations is of particular interest for cyber-physical systems due to the fact that several of the
perturbations introduced during the implementation of the cyber components can