Robust switching design for continuous-time switched linear systems

In this work, we re-examine the state-feedback path-wise switching proposed previously for discrete-time switched systems, and extend the switching design approach to continuous-time switched systems. To properly capture the sensitiveness of a switching signal undergoing various switching perturbations, we define the distance between state-feedback path-wise switching laws. Based on the defined distances, we establish that any asymptotically stabilizable switched linear system is robust with respect to switching perturbations.