AI 中文总结
针对拒绝服务攻击下的二阶非线性多智能体系统，提出切换滑模协议，通过时间缩放函数处理通信中断，实现预定义时间内有界扰动下的位置和速度一致。
AI 中文摘要
本文研究了在拒绝服务（DoS）攻击下，无领导者二阶非线性多智能体系统的预定义时间弹性一致性问题，其动机源于安全关键应用中的协调需求。智能体受到有界外部扰动的影响，并在一个强连通有向图上进行通信，该图的链路在攻击期间同时失效。我们开发了一种切换滑模协议，其目标是达到位置和速度一致的不变流形。该协议在无攻击间隔内使用相对位置和速度信息，在通信中断期间使用局部速度反馈。时间缩放函数在每个中断期间保持恒定，并在通信恢复时恢复演化，从而考虑了可用于达成一致的时间。在攻击持续时间和频率的界限下，我们通过李雅普诺夫分析推导出充分的增益条件。我们证明，尽管存在有界扰动，智能体仍能在实际稳定时间内实现位置和速度一致，该实际稳定时间等于预定的收敛持续时间加上截至实际稳定时间的累计攻击持续时间。预定的收敛持续时间与初始条件无关，并且在没有攻击的情况下，实际稳定时间缩短为该持续时间。
英文摘要
This paper addresses predefined-time resilient consensus of leaderless second-order nonlinear multi-agent systems under denial-of-service (DoS) attacks, motivated by coordination requirements in safety-critical applications. The agents are subject to bounded external disturbances and communicate over a strongly connected directed graph whose links are simultaneously disabled during attacks. We develop a switching sliding-mode protocol with the objective of reaching an invariant manifold of position and velocity agreement. The protocol uses relative position and velocity information during attack-free intervals and local velocity feedback during communication blackouts. A time-scaling function remains constant during each blackout and resumes evolving when communication is restored, accounting for the time available for consensus. Under bounds on attack duration and frequency, we derive sufficient gain conditions through a Lyapunov analysis. We show that, despite bounded disturbances, the agents achieve position and velocity consensus by a realistic settling time equal to a prescribed convergence duration plus the cumulative attack duration up to the realistic settling time. The prescribed convergence duration is independent of the initial conditions, and the realistic settling time reduces to that duration in the absence of attacks.
