论文标题
关于线性系统中不透明度与安全性之间的连接
On Connections between Opacity and Security in Linear Systems
论文作者
论文摘要
不透明度和攻击可检测性对于任何系统来说都是重要的特性，因为它们允许各州保持私人和恶意攻击。在本文中，我们表明，在这些属性之间，对于线性动力学系统，存在基本的权衡，从某种意义上说，如果不透明系统受到攻击，则无法检测到所有攻击。我们首先根据系统弱无法观察的子空间（WUS）来表征该系统的不透明度条件，并表明不透明状态的数量与WUS的大小成正比。此外，我们建立了增加不透明集的条件，还增加了一组无法检测的攻击。这突出了安全与隐私之间的基本权衡。我们证明了我们的结果应用于遥控的汽车系统。
Opacity and attack detectability are important properties for any system as they allow the states to remain private and malicious attacks to be detected, respectively. In this paper, we show that a fundamental trade-off exists between these properties for a linear dynamical system, in the sense that if an opaque system is subjected to attacks, all attacks cannot be detected. We first characterize the opacity conditions for the system in terms of its weakly unobservable subspace (WUS) and show that the number of opaque states is proportional to the size of the WUS. Further, we establish conditions under which increasing the opaque sets also increases the set of undetectable attacks. This highlights a fundamental trade-off between security and privacy. We demonstrate application of our results on a remotely controlled automotive system.
