多链接复杂网络指数同步的间歇事件触发控制

Intermittent event-triggered control for exponential synchronization of multi-links complex networks

中文关键词  复杂网络  指数同步性  间歇事件触发控制

英文关键词  complex networks  exponential synchronization  intermittent event-triggered control

中文摘要

      本文研究了基于间歇事件触发控制策略的延迟多链接复杂网络的指数同步问题, 设计了一种间歇动态事 件触发控制策略. 相比于间歇静态事件触发控制策略, 本文提出的控制策略是基于控制区间内的动态事件触发, 极 大地减少了事件触发次. 并且, 考虑的间歇控制的控制增益是自适应的, 这具有动态调整的作用. 基于图论和李雅 普诺夫方法, 本文给出了实现延迟多链接复杂网络指数同步的充分条件. 此外, 本文设计的控制策略能够排除Zeno 现象. 并且, 将理论结果应用于一类振子系统的指数同步问题. 最后, 文章给出相应的数值仿真来验证理论结果的有 效性和可行性.

英文摘要

      In this paper, the exponential synchronization of multi-links complex networks with time delays via intermittent event-triggered control is discussed. An intermittent dynamic event-triggered control strategy is designed. In contrast to the intermittent static event-triggered control strategy, the proposed control strategy in this paper is based on the dynamic event-triggering during the control interval, which greatly reduces the event-triggered times. Furthermore, the control gain of intermittent control considered in this paper is adaptive, which has the function of dynamic adjustment. Based on the graph theory and Lyapunov method, the sufficient conditions for realizing the exponential synchronization of multi-links complex networks with time delays are presented. In addition, the control strategy designed in this paper can exclude Zeno phenomenon. Moreover, the obtained theoretical results are applied to the exponential synchronization of a class of oscillators systems. Finally, corresponding numerical simulations are provided to verify the validity and feasibility of the theoretical results.