具有时滞的离散多智能体系统分组一致性研究

Group consensus for discrete-time multi-agent systems with time delays

针对带有领导者的2组具有常时滞的多智能体系统,在假设满足入度平衡的条件下,提出了一种新的分布式控制协议,利用李雅普诺夫稳定性理论和线性矩阵不等式方法,得到了具有常时滞的二阶离散时间多智能体系统达到分组指数一致性的充分条件。通过Matlab仿真结果验证了所提算法的正确性。

Since two groups of multi-agent systems with leaders have constant time delays,a new distributed control protocol is proposed under the condition that both groups satisfy the in-degree balance.Sufficient conditions of exponential consensus were obtained for second-order discrete-time multi-agent systems with constant time delays using the Lyapunov stability theory and linear matrix inequality method.The Matlab simulation results verified the correctness of the proposed algorithm.