控制理论(社会学)
同步(交流)
趋同(经济学)
计算机科学
收敛速度
同步网络
线性矩阵不等式
李雅普诺夫函数
脉冲(物理)
拓扑(电路)
作者
Xinrui Ji,Jianquan Lu,Bangxin Jiang,Jie Zhong
标识
DOI:10.1016/j.nahs.2021.101148
摘要
This paper mainly investigates synchronization of complex dynamical networks (CDNs) with both system delay and coupled delay through distributed delayed impulsive control. Instead of constraining the impulsive weight and impulsive delay one by one, a new concept of average delayed impulsive weight is proposed to obtain more relaxed conditions. Subsequently, based on the impulsive control topology, Lyapunov theory and linear matrix inequality (LMI) design, certain flexible criteria of global exponential synchronization (GES) are given and the corresponding convergence rate is estimated. It is interesting to see that the CDNs can still achieve synchronization under comprehensive conditions though impulsive weights work negatively. Namely, the delays in impulsive control are able to promote synchronization potentially. Finally, simulations are given to show that the distributed delayed impulsive control can not only speeds up the convergence rate for synchronized networks, but also facilitates synchronization for desynchronized networks. In addition, the obtained results can be applied to unmanned craft systems.
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