Preventive and Reactive Cyber Defense Dynamics Is Globally Stable
Preventive and Reactive Cyber Defense Dynamics Is Globally Stable
复制标题
预防性和反应性网络防御动态在全球范围内保持稳定
DOI：
10.1109/tnse.2017.2734904
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发表时间：
2016-02
影响因子：
6.6
通讯作者：
Shouhuai Xu
中科院分区：
文献类型：
--
作者：
Ren Zheng;Wenlian Lu;Shouhuai Xu
最近提出的网络安全动力学方法旨在通过模拟全球网络安全状态的演变，从整体角度理解网络安全。这些模型描述了发生在复杂网络中的各种网络攻击和各种网络防御之间的相互作用。在本文中，我们研究了由两类攻击（称为基于推的攻击和基于拉的攻击）和两类防御（称为预防性和反应性防御）之间的相互作用引起的特定类型的网络安全动态。在具有节点无关和边缘无关参数的模型的参数域的特殊区域内，动力学被证明是全局稳定的，但在该区域之外知之甚少。在本文中，我们证明了具有节点依赖和边依赖参数的更一般模型的动力学在整个参数域中是全局稳定的。这意味着动力学总是收敛到一个唯一的平衡。我们还证明了除了一个特殊的参数区域外，动力学是指数收敛到平衡状态的，在这个区域动力学是多项式收敛的。由于通常难以计算平衡，我们提出了平衡的边界，并通过数值表明这些边界比文献中提出的边界更严格。
The recently proposed cybersecurity dynamics approach aims to understand cybersecurity from a holistic perspective by modeling the evolution of the global cybersecurity state. These models describe the interactions between the various kinds of cyber attacks and the various kinds of cyber defenses that take place in complex networks. In this paper, we study a particular kind of cybersecurity dynamics caused by the interactions between two classes of attacks (called push-based attacks and pull-based attacks) and two classes of defenses (called preventive and reactive defenses). The dynamics was previously shown to be globally stable in a special regime of the parameter universe of a model with node-independent and edge-independent parameters, but little is known beyond this regime. In this paper, we prove that the dynamics is globally stable in the entire parameter universe of a more general model with node-dependent and edge-dependent parameters. This means that the dynamics always converges to a unique equilibrium. We also prove that the dynamics converges exponentially to the equilibrium except for a particular parameter regime, in which the dynamics converges polynomially. Since it is often difficult to compute the equilibrium, we propose bounds of the equilibrium and numerically show that these bounds are tighter than those proposed in the literature.
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影响因子：
7.3
作者：
Shouhuai Xu;Wenlian Lu;Zhenxin Zhan
通讯作者：
Shouhuai Xu;Wenlian Lu;Zhenxin Zhan
影响因子：
2.4
作者：
Pastor-Satorras, R;Vespignani, A
通讯作者：
Vespignani, A
DOI：
10.1007/978-0-387-21761-1
发表时间：
2003
期刊：
--
影响因子：
--
作者：
Xiao-Qiang Zhao
通讯作者：
Xiao-Qiang Zhao
DOI：
10.1109/aina.2007.138
发表时间：
2007-05
期刊：
21st International Conference on Advanced Information Networking and Applications (AINA '07)
影响因子：
--
作者：
Xiaohu Li;T. Parker;Shouhuai Xu
通讯作者：
Xiaohu Li;T. Parker;Shouhuai Xu
DOI：
10.1109/acc.2014.6859418
发表时间：
2014-06
期刊：
2014 American Control Conference
影响因子：
--
作者：
A. Khanafer;T. Başar;B. Gharesifard
通讯作者：
A. Khanafer;T. Başar;B. Gharesifard