In this paper, we propose a new filtering method for robust stability analysis of software defined networks (SDNs) with nonsmooth features by using the formal specification of an abstract network architecture of SDNs in which the convergence of the delay time equals to the fairness and the convergence problem of delay time of SDNs is transformed into a robust stability problem. Our theoretical result for robust stability analysis of SDNs with respect to the convergence shows that this mathematical filtering method is promising for the analysis of SDNs.
Software defined network, filter theory, nonsmooth analysis.