@article{ef68b280bc854a08947c603aaae3bd7e,
title = "The effect of time-varying jamming interference on networked stabilization",
abstract = "The effect of jamming attacks on the networked control of a linear discrete-time dynamical system is investigated. In this networked control system, a wireless communication channel is used for the transmission of the control input packets from the controller to the plant. The probability of transmission failures on this channel depends on the power of the interference signals emitted by the jamming attacker. We explore the case where the attacker{\textquoteright}s interference power is time-varying but bounded in average. We obtain almost sure asymptotic stability conditions for the networked control system. In our stability analysis, we utilize nondecreasing and concave functions of the attacker{\textquoteright}s interference power that upper-bound the transmission failure probability. We also obtain upper and lower bounds on the probability of the state being outside a given level set at a given time. Finally, we present numerical examples to demonstrate the efficacy of our results under various scenarios.",
keywords = "Cyber-security, Networked control, Stochastic stability, Wireless networks",
author = "Ahmet Cetinkaya and Hideaki Ishii and Tomohisa Hayakawa",
note = "Funding Information: This work was supported in part by the JST CREST, grant JPMJCR15K3, and by the JSPS under Grant-in-Aid for Scientific Research, grant 15H04020. Funding Information: ∗Received by the editors July 3, 2017; accepted for publication (in revised form) April 9, 2018; published electronically June 28, 2018. A preliminary version of this work appeared in Proceedings of the IFAC World Congress, 2017. http://www.siam.org/journals/sicon/56-3/M113543.html Funding: This work was supported in part by the JST CREST, grant JPMJCR15K3, and by the JSPS under Grant-in-Aid for Scientific Research, grant 15H04020. †Department of Computer Science, Tokyo Institute of Technology, Yokohama 226-8502, Japan (ahmet@sc.dis.titech.ac.jp, ishii@c.titech.ac.jp). ‡Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan (hayakawa@sc.e.titech.ac.jp). Publisher Copyright: {\textcopyright} 2018 Society for Industrial and Applied Mathematics.",
year = "2018",
doi = "10.1137/17M1135438",
language = "English",
volume = "56",
pages = "2398--2435",
journal = "SIAM Journal on Control and Optimization",
issn = "0363-0129",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "3",
}