离散多智能体切换系统的二阶分组一致性研究

针对随机切换拓扑下离散多智能体系统的二阶分组一致性问题进行了研究。 设计了一种新颖的分组一致性协议,该协议不依赖于保守的假设条件,能全面反映系统中智能体在分组内与分组间的相互影响。引入马尔科夫链来模拟系统的随机拓扑变化, 基于矩阵理论和图论得到了在马尔科夫切换拓扑条件下,应用新协议使系统达到分组一致的充分条件。 在证明过程的结尾部分,使用线性不等式 (LMI) 工具给出了获取协议中控制参数的算法。最后,通过数字仿真实例证明了理论结果的有效性。

Second-order group consensus of discrete-time multi-agent systems with stochastic switching topologies, Computer Engineering and Applications

In this paper, the group consensus problems of second-order discrete-time multi-agent networks with fixed topology and stochastic switching topologies are investigated. Instead of relying on other conservative assumptions presented by the majority of the relevant existing research works, we present a novel group consensus protocol which can exactly reflect the interactive influence among the agents of the multi-agent networks. It is proved that in fixed and Markov-switching topologies, the system can achieve group consensus with the group consensus protocol. Two sufficient conditions of the group consensus are obtained. Finally, The LMI approach to the design of the group consensus protocol is presented. Numerical simulations are given to illustrate the results.