Assessment of Initial-State-Opacity in Live Bounded and Reversible Discrete Event Systems via Integer Linear Programming

F. Basile, G. Tommasi, Carlo Motta, A. Petrillo, S. Santini
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Abstract

Opacity is a property of discrete event systems (DES) that is related to the possibility of hiding a secret from external observers (the intruders). When the secret is the initial state of the system, the related opacity problem is referred to as Initial State Opacity (ISO). A sufficient condition to check ISO by solving Integer Linear Programming problems is given in this paper. Such a condition exploits the algebraic representation of Petri nets and a structural one of its behavior in terms of minimal support T-invariants. The effectiveness of the proposed approach is shown by means of examples.
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用整数线性规划评估活有界可逆离散事件系统的初始状态不透明性
不透明性是离散事件系统(DES)的一个属性,它与向外部观察者(入侵者)隐藏秘密的可能性有关。当秘密是系统的初始状态时,相关的不透明度问题称为初始状态不透明度(initial state opacity, ISO)。本文给出了求解整数线性规划问题检验ISO的一个充分条件。这样的条件利用了Petri网的代数表示及其在最小支持t不变量方面的结构行为。通过算例验证了该方法的有效性。
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