Cyber attacks pose severe threats on synchronization of multi-agent systems. Deception attack, as a typical type of cyber attack, can bypass the surveillance of the attack detection mechanism silently, resulting in a heavy loss. Therefore, the problem of mean-square bounded synchronization in multi-agent systems subject to deception attacks is investigated in this paper. The control signals can be replaced with false data from controller-to-actuator channels or the controller. The success of the attack is measured through a stochastic variable. A distributed impulsive controller using a pinning strategy is redesigned, which ensures that mean-square bounded synchronization is achieved in the presence of deception attacks. Some sufficient conditions are derived, in which upper bounds of the synchronization error are given. Finally, two numerical simulations with symmetric and asymmetric network topologies are given to illustrate the theoretical results.

中文翻译：

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受欺骗攻击的Lipschitz型多主体系统中的安全脉冲同步

网络攻击对多代理系统的同步构成了严重威胁。欺骗性攻击作为一种典型的网络攻击，可以无提示地绕过攻击检测机制的监视，从而造成巨大损失。因此，本文研究了遭受欺骗攻击的多智能体系统中均方有界同步问题。可以使用来自控制器到执行器通道或控制器的错误数据代替控制信号。攻击的成功是通过随机变量衡量的。重新设计了使用固定策略的分布式脉冲控制器，以确保在存在欺骗攻击的情况下实现均方有界同步。得出了一些充分的条件，其中给出了同步误差的上限。最后，