This paper investigates secure consensus problems of nonlinear dynamical networks (NDNs) with node delay under denial-of-service (DoS) attacks, which can cause a break in communication links. It will lead to packet loss. To ensure the secure consensus in this scenario, we propose an effective impulsive control which only based on sampled information from neighbor nodes. Based on the Lyapunov stability theory and the impulsive comparison principle, an upper bound of the average impulse interval is derived to ensure the exponential consensus of NDNs under DoS attacks, and the convergence rate can be estimated. Finally, a numerical example is provided to check the theory results.

中文翻译：

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拒绝服务攻击下具有节点延迟的非线性动态网络安全共识的分布式脉冲控制

本文研究了在拒绝服务 (DoS) 攻击下具有节点延迟的非线性动态网络 (NDN) 的安全共识问题，这可能导致通信链路中断。会导致丢包。为了确保在这种情况下达成安全共识，我们提出了一种有效的脉冲控制，该控制仅基于来自邻居节点的采样信息。基于Lyapunov稳定性理论和脉冲比较原理，推导出平均脉冲间隔的上界，保证NDNs在DoS攻击下的指数一致性，并且可以估计收敛速度。最后，给出了一个数值例子来检验理论结果。