Research On The Robustness Of Interdependent Networks In Cyberspace Physical And Information Domain

Cyberspace is a new domain of human activity born with the development of information technology,there are many kinds of networked systems in this space.With the progress of information technology,more and more dependency relations have been gradually generated between these networked systems,forming the so-called interdependent networks.These dependency links improve the operating efficiency of each subsystem,but increase the risk of large-scale failure or even completely collapse of the entire interdependent system when facing component failures.Generally speaking,by studying the failure process and robustness performance of interdependent systems under different conditions,the purpose of this paper is to understand the operation and failure characteristics of networked systems more deeply.These studies will not only help people to design more robust networked infrastructure system in social or economic fields,but also help them to deepen the understanding of the operational mechanism of cyber warfare,and support possible operations in cyberspace in the future,seize the commanding heights of cyber warfare.Specifically,this paper clarifies the concepts and summarizes related research on cyberspace and cyber warfare.Through analyzing the organizational hierarchy of cyberspace,the hierarchy of interdependent system in this space is clarified,that is,the information-physical domain of cyberspace.Furthermore,this paper expounds the dependency relationships existing in cyber warfare from the aspects of entity and process,then the corresponding double-layer interdependent networks model is set up for quantitative description of such dependency.At last,theoretical and simulation analysis of topological robustness of interdependent networks is carried out from the following aspects1.Modeling and robustness analysis of no-feedback interdependent networks.Based on the principle of near-neighborhood of dependency relationships,this paper constructs a no-feedback interdependent networks model,and analyzes the robustness of such systems from both theoretical and simulation perspectives.After analyzing the failure process of such interdependent networks base on the percolation theory,the cascading failure of interdependent networks is simulated from three aspects: the coupling strength,the dependency strength and the attack information breadth.The simulation results show that the robustness of no-feedback interdependent networks is inverse proportional to the above three parameters,which means that it is feasible to reduce coupling strength,design redundancy to reduce dependency strength or hide some nodes from the perspective of improving the robustness of interdependent system.In addition,the effect of coupling strength and dependency strength on propagation failure in interdependent networks is proved to be equivalent.2.Cascading failure analysis and robustness simulation of interdependent networks under localized attack with failure probability degradation.By analyzing the physical meanings of existed cascading failure analysis methods,a new method for interdependent networks robustness analysis is proposed.Based on this method,the cascading failure simulation and robustness analysis of several interdependent networks models constructed by artificial networks are carried out,the results are compared with those under traditional deliberate attack and random attack,and show that the robustness of interdependent networks is better under this attack preference.In addition,the coupling preference when constructing dependency among subnetworks has little effect on the robustness under localized attack with failure probability degradation.3.Modeling and cascading failure simulation of weighted interdependent networks.On the basis of analyzing the physical meaning of node weighting,this paper presents a method of robustness analysis for weighted interdependent networks,that is,a method considering both load and dependency failure.When facing the load failure,the load of failed nodes in interdependent networks is distributed by the principle of local load redistribution.Based on this method,the paper analyses the influence of load tolerance parameters on the robustness of weighted interdependent networks,and discusses the factors affecting the tolerance parameters.Based on the discussion of load tolerance,a strategy to improve the robustness of weighted interdependent networks is proposed and analyzed quantitatively.In order to verify the feasibility of the above methods,two examples of interdependent systems in cyberspace are chosen and cascading processes are simulated.One is the interdependent system composed of command-control and communication network in cyber warfare,the other is an interdependent infrastructure system in the information-physical domain of cyberspace.The simulations prove the availability and effectiveness of the related models and methods involved in this paper.