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Robust Switching of Switched Linear Systems

Abstract For switched dynamical systems, switching signals usually undergo perturbations and disturbances due to various reasons. A well-behaved switched system might not work properly when its switching signal is perturbed. In this work, we investigate the switching robustness for a class of switched linear systems. For this, we first define the distance between two switching signals by means of their switching matrices chains. Then, we prove that, if a periodic switching path steers the switched system exponentially stable, then any slightly perturbed switching signal also makes the system stable.