@article{f0897e254a3c4e3189ef7e3605884327,
title = "A probabilistic characterization of random and malicious communication failures in multi-hop networked control",
abstract = "The control problem of a linear discrete-time dynamical system over a multi-hop network is explored. The network is assumed to be subject to packet drops by malicious and nonmalicious nodes as well as random and malicious data corruption issues. We utilize asymptotic tail-probability bounds of transmission failure ratios to characterize the links and paths of a network as well as the network itself. This probabilistic characterization allows us to take into account multiple failures that depend on each other, and coordinated malicious attacks on the network. We obtain a sufficient condition for the stability of the networked control system by utilizing our probabilistic approach. We then demonstrate the efficacy of our results in different scenarios concerning transmission failures on a multi-hop network.",
keywords = "Malicious attacks, Multi-hop networks, Network models, Networked control, Random transmission failures",
author = "A. Cetinkaya and H. Ishii and T. Hayakawa",
note = "Funding Information: \ast Received by the editors November 21, 2017; accepted for publication (in revised form) July 5, 2018; published electronically September 25, 2018. A preliminary version of this work appeared in Proceedings of the 5th IFAC Workshop on Distributed Estimation and Control in Networked Systems, 2016. http://www.siam.org/journals/sicon/56-5/M115802.html Funding: This work was supported in part by the JST CREST grant JPMJCR15K3 and by JSPS under Grant-in-Aid for Scientific Research grant 15H04020. \dagger Department of Computer Science, Tokyo Institute of Technology, Yokohama 226-8502, Japan (ahmet@sc.dis.titech.ac.jp, ishii@c.titech.ac.jp). \ddagger Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan (hayakawa@sc.e.titech.ac.jp). Funding Information: This work was supported in part by the JST CREST grant JPMJCR15K3 and by JSPS under Grant-in-Aid for Scientific Research grant 15H04020. Publisher Copyright: {\textcopyright} 2018 Society for Industrial and Applied Mathematics",
year = "2018",
doi = "10.1137/17M1158021",
language = "English",
volume = "56",
pages = "3320--3350",
journal = "SIAM Journal on Control and Optimization",
issn = "0363-0129",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "5",
}