{"title":"DDoS attack on wireless cyber–physical systems: A Stackelberg game approach","authors":"Lianghong Peng, Youwen Yi, Zhijian Ji","doi":"10.1016/j.cnsns.2025.108945","DOIUrl":null,"url":null,"abstract":"<div><div>This paper delves into the network security issues of cyber–physical systems (CPSs), where malicious agents can launch distributed denial-of service (DDoS) attacks to disrupt communication channels between sensors and remote estimator. Addressing the strategic interaction between defenders and DDoS attacker, we establish a two-player zero-sum stochastic game framework that portrays the interaction as a dynamic Stackelberg non-cooperative game to deal with the impact of DDoS attacks on CPSs. Using refined Bayesian Nash equilibrium, we determine optimal attack-defense strategies and analyze scenarios with incomplete information. Notably, attacker can access sensor transmission power before acting, prompting us to propose solutions and optimal strategy algorithms. In simulations, we explore three transmission power ranges and thoroughly examine their impact on the utility functions of both attacker and defenders.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108945"},"PeriodicalIF":3.4000,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425003569","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This paper delves into the network security issues of cyber–physical systems (CPSs), where malicious agents can launch distributed denial-of service (DDoS) attacks to disrupt communication channels between sensors and remote estimator. Addressing the strategic interaction between defenders and DDoS attacker, we establish a two-player zero-sum stochastic game framework that portrays the interaction as a dynamic Stackelberg non-cooperative game to deal with the impact of DDoS attacks on CPSs. Using refined Bayesian Nash equilibrium, we determine optimal attack-defense strategies and analyze scenarios with incomplete information. Notably, attacker can access sensor transmission power before acting, prompting us to propose solutions and optimal strategy algorithms. In simulations, we explore three transmission power ranges and thoroughly examine their impact on the utility functions of both attacker and defenders.
期刊介绍:
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.