Discrete Time Consensus Algorithm In Multi-Agent System

Amol Patil, Gautam Shah
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Abstract

This paper explains mathematical framework of coordination phenomenon happening in nature and social dynamics. Distributed control law is designed for multi-agent dynamical systems using Perron-Frobenius theory. Algorithm convergence is analyzed for balanced and unbalanced communication graph. The consensus value and the topological condition under which the algorithm converges is also derived and explained. Simulation results shows the effective implementation of proposed algorithm
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多智能体系统中的离散时间一致性算法
本文阐述了自然界和社会动力学中协调现象的数学框架。利用Perron-Frobenius理论设计了多智能体动态系统的分布式控制律。分析了平衡通信图和不平衡通信图的算法收敛性。推导并解释了算法的一致性值和收敛的拓扑条件。仿真结果表明了该算法的有效实现
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