Stability analysis of software networks

Abstract

This paper considers the stability of software networks, about which we employ a novel scheme about network division to treat the situation of multiple edges. The division principles is followed based on different types of coupling between classes, the whole software network is divided into several subnets. And then, a model of the multiple edges software networks has been established. After that, the stability analysis of the model with three types of coupling is conducted. The sufficient conditions for ensuring the stability of the networks are derived based on the Lyapunov-Krasovskii functional approach. The simulation example is provided to demonstrate the effectiveness of the presented method.