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arXiv · 1804.03810

Privacy Verification in POMDPs via Barrier Certificates

Mohamadreza Ahmadi·Bo Wu·Hai Lin·Ufuk Topcu
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Abstract

Privacy is an increasing concern in cyber-physical systems that operates over a shared network. In this paper, we propose a method for privacy verification of cyber- physical systems modeled by Markov decision processes (MDPs) and partially-observable Markov decision processes (POMDPs) based on barrier certificates. To this end, we consider an opacity-based notion of privacy, which is characterized by the beliefs in system states. We show that the belief update equations can be represented as discrete-time switched systems, for which we propose a set of conditions for privacy verification in terms of barrier certificates. We further demonstrate that, for MDPs and for POMDPs, privacy verification can be computationally implemented by solving a set of semi-definite programs and sum-of-squares programs, respectively. The method is illustrated by an application to privacy verification of an inventory management system.

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Mohamadreza Ahmadi, Bo Wu, Hai Lin, Ufuk Topcu. 2018-04-11. Privacy Verification in POMDPs via Barrier Certificates. https://arxiv.org/abs/1804.03810

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