analysis for the system with disturbance. We present a numerical example in Section \[sec:Illustrative-Numerical-Examples\], and finally we conclude the paper in Section \[sec:Conclusion\]. Our preliminary conference report [@ahmetmtns2018] contains some of the results. In this paper, we provide the proofs, additional detailed discussions, and a new example.

Throughout the paper, we use $\mathbb{N}$ and $\mathbb{N}_{0}$ to denote the sets of positive and nonnegative integers, respectively. Moreover, $\left\Vert \cdot\right\Vert _{2}$ denotes the Euclidean norm, $\mathrm{\mathbb{P}}[\cdot]$ and $\mathbb{E}[\cdot]$ respectively denote the probability and the expectation on a probability space $(\Omega,\mathcal{F},\mathbb{P})$.

Networked Control Under Jamming Attacks  {#sec:Networked-Control-Under}
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We consider the networked control problem of a discrete-time linear plant with a static state feedback controller. As illustrated in Fig. \[Flo:NetworkedOperation\], a wireless communication channel is used for transmission of control input packets from the controller to the plant. This channel is subject to transmission failures at certain times due to interference caused by the jamming signal of an attacker.

![Operation of networked control system under jamming attacks[]{data-label="Flo:NetworkedOperation"}](networkedcontrolsystemdrawing8 "fig:"){width="0.65\columnwidth"} -5pt

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In the networked control operation, at each time step $t$, the controller computes a control input using the state information and attempts to transmit it on the wireless channel. If the transmission is 