Assumption \[SecondAssumption\] allows the scenario where the channel is attacked at all times if the attacker’s interference power for certain times is small. Notice that emission of interference signals in jamming attacks require energy [@pelechrinis2011]. In this respect, Assumption \[SecondAssumption\] can describe the constraints of an attacker with limited energy resources.

In this section, we investigate the networked control system (\[eq:closed-loop-system\]) under bounded disturbance. The analysis is then extended in Section \[subsec:Stabilization-Under-Jamming\] to the case where the disturbance has finite second moments but its norm may not be bounded by a fixed scalar.

In this paper, we consider scenarios where the norm of the disturbance does not approach zero, and hence the state or its moments may not converge to the origin. Instead of exploring asymptotic stability, our goal is to obtain conditions for the first moment of the state to stay bounded. To this end, let $\hat{A}(t)\triangleq l(t)A+(1-l(t))(A+BK)$, $t\in\mathbb{N}_{0}$, and moreover, for every $t_{1},t_{2}\in\mathbb{N}_{0}$ with $t_{1}\leq t_{2},$ let $$\begin{aligned}
F(t_{2},t_{1}) & \triangleq\begin{cases}
\hat{A}(t_{2}), & t_{1}=t_{2},\\
\hat{A}(t_{2})\cdots\hat{A}(t_{1}), & t_{1}<t_{2}.
\end{cases}\end{aligned}$$ For the closed-loop system (\[eq:closed-loop-system\]), we have $x(t)=F(t-1,0)x_{0}+\sum_{j=0}^{t-2}F(t-1,j+1)w(j)+w(t-1)$, for $t\in\mathbb{N}$. Therefore, for any induced norm $\|\cdot\|$, it follows from the triangle inequality and the submultiplicativity property that $$\begin{aligned}
\|x(t)\| & 