带有时变时滞和不确定性拓扑的双积分系统的一致性

摘要

研究带有不确定性拓扑的双积分系统在有时滞的情况下的一致性问题,通过线性矩阵不等式的方法,得到一致性的充分条件.本文最大的贡献是考虑双积分系统,在有不确定性信息和时变时滞的情况下,找出控制协议使其一致.最大合适的时变时滞和不确定性可以由线性矩阵不等式得到.最后给出仿真,证明定理的有效性.%we study consensus in networks of double-integrator agents with time-varying delays and uncertain topologies.By using the linear matrix inequality method,we establish sufficient condition for consensus in the existence of both delay and uncertain.The matin contribution of this paper is that we prove consensus of double-integrator agents with time-varying delays and uncertain topologies by using a appropriate control input.The maximal allowable upper bounds of time-varying communication delay and uncertain can obtained by solving linar matrix inequality.Final,numerical examples are given to demonstrate the effectiveness of theoretical results.