受白噪声干扰的多智能体系统稳定性分析

Stability analysis of multi-agent system disturbed by white noise

为分析在二次型环境中受到噪声干扰的非线性多智能体系统的集群行为,引用了白噪声干扰因素,运用矩阵、图论和李雅普诺夫稳定性判别等方法,证明了在满足一定条件下,多智能体系统的个体会聚集在一起,进入到一个有界的区域.通过数值仿真,对比了在二次型环境下有无白噪声干扰的多智能体系统成员的表现,验证了结论的合理性.

To analyze the swarm behavior of a nonlinear multi-agent system disrupted by noise in a quadratic environment,the white noise interference factors was referenced.By using of matrix,graph theory and Lyapunov stability discrimination techniques,it was proved that individuals in the multi-agent system will gather together within a bounded area under specific conditions.Additionally,numerical simulations was conducted to compare the performance of multi-agent system members with and without white noise interference in a quadratic environment,thereby validating the conclusion.