Finite-time behavior of switching networks

Abstract

© 2017 IEEE. This paper addresses the analysis of networked systems with switching topologies modeled by Positive Markov Jump Linear Systems, focusing on finite-time stability criteria. Main results are sufficient conditions to assess finite-time stability, and establish probabilistic bounds on state amplification. In addition, connections between notions of asymptotic and finite-time stability are explored. Numerical examples illustrate how the proposed criteria can help to gain insight on air traffic delay propagation, one of many real world networked systems that are amenable to the analysis herein.