English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The addition of a physical watermarking signal to the control input increasesthe detection probability of data deception attacks at the expense of increasedcontrol cost. In this paper, we propose a parsimonious policy to reduce theaverage number of watermarking events when the attack is not present, which inturn reduces the control cost. We model the system as a stochastic optimalcontrol problem and apply the dynamic programming to minimize the averagedetection delay (ADD) for fixed upper bounds on false alarm rate (FAR) andincreased control cost. The optimal solution results in a two threshold policyon the posterior probability of attack, which is derived from the Shiryaevstatistics for sequential change detection assuming the change point is arandom variable with a geometric distribution. We derive approximateexpressions of ADD and FAR applying the non-linear renewal theory. Therelationship between the average number of watermarking added before the attackand the increase in control cost is also derived. We design the optimalwatermarking that maximizes the Kullback-Leibler divergence for a fixedincrease in the control cost. Simulation studies are performed to illustrateand validate the theoretical results.

Quickest Detection of Deception Attacks on Cyber-Physical Systems with a Parsimonious Watermarking Policy