On stability of switched linear systems with perturbed switching paths

Abstract

This paper addresses the stability issue of switched linear systems with perturbed switching paths. First, by introducing the notions of child-path and parent-path, we are able to define the distance between two switching paths by means of their switching matrices chains. Next, we present the nice properties of the defined distance. Then, a stability criterion is presented for a class of switched linear systems with perturbed switching paths. Finally, an illustrative example is presented to verify the effectiveness of the approach.

Switched Computation on the Railway Route

“…, m}. For the linear continue time invariant(LTI) systems, the relationship expression is given by [13]:…”

Robust Switching of Switched Linear Systems

“…A problem thus arises naturally: How to characterize the distance between two switching signals? As switching signals are defined over infinite time horizon, it is not a trivial task to formulate a reasonable measure Sun & Ge [2006].…”