We model a vehicle equipped with an autonomous cyber-defense system in addition to its inherent physical resilience features. When attacked, this ensemble of cyber-physical features (i.e., ``bonware'') strives to resist and recover from the performance degradation caused by the malware's attack. We model the underlying differential equations governing such attacks for piecewise linear characterizations of malware and bonware, develop a discrete time stochastic model, and show that averages of instantiations of the stochastic model approximate solutions to the continuous differential equation. We develop a theory and methodology for approximating the parameters associated with these equations.
翻译:我们模拟了一台拥有自主网络防御系统的飞行器,除了其固有的物理抗御功能外,我们还模拟了一辆配备了自主网络防御系统的飞行器。当被攻击时,这一系列网络物理特征(即“bonware' ” ) 试图抵制恶意软件袭击造成的性能退化并从中恢复过来。我们模拟了用于这种袭击的基本差异方程式,对恶意软件和软件进行细微线性描述,开发了一个独立的时间随机模型,并显示随机模型的即时平均值大致是持续差异方程的解决方案。我们开发了接近这些方程式相关参数的理论和方法。