as long as the average attack duration and the average frequency of attacks satisfy certain bounds. It was first observed in [@de2015inputtran] that when a networked control system is subject to disturbance, duration and frequency conditions for attacks need to be stronger to guarantee stability in comparison to the case without disturbance.

In this paper, our goal is to investigate the combined effects of disturbance and jamming attacks specifically for *wireless* networked control problems within a probabilistic framework. In particular, we consider the control problem over a wireless channel, where the transmission failure model is characterized through the time-dependent Signal-to-Interference-plus-Noise-Ratio (SINR), which is the ratio of the transmission power of the signal to the jamming attacker’s interference power summed with the channel noise power. A jamming signal with a strong interference power results in a smaller SINR, which ends up increasing the likelihood of a packet loss.

Previously, SINR-based channel models were used by [@IFACli2015jamming; @IFACzhangattack; @IFACli2016sinr] for game-theoretic analysis of remote state estimation problems under jamming attacks. Moreover, in [@IFACzhang2016optimal], a probabilistic channel model was considered in a networked control problem setting and optimal attack policies were explored for the case where the total number of attacks in a 