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多链接复杂网络指数同步的间歇事件触发控制

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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。
Intermittent event-triggered control for exponential synchronization of multi-links complex networks
In this paper,the exponential synchronization of multi-links complex networks with time delays via intermit-tent 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.

complex networksexponential synchronizationintermittent event-triggered control

张宏礼、齐文博、郭英

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岭南师范学院数学与统计学院,广东湛江 524048

青岛理工大学理学院,山东青岛 266520

复杂网络 指数同步性 间歇事件触发控制

山东省自然科学基金山东省高等学校科技计划广东省湛江市科技攻关计划岭南师范学院自然科学研究专项

ZR2021MA065J18KA2182020B01151ZL2042

2024

控制理论与应用
华南理工大学 中国科学院数学与系统科学研究院

控制理论与应用

CSTPCD北大核心
影响因子:1.076
ISSN:1000-8152
年,卷(期):2024.41(1)
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