延迟耦合奇异混杂网络的同步
Synchronization in Singular Hybrid Complex Networks with Delayed Coupling
本文研究带有耦合延迟的奇异混杂网络的同步问题。尽管目前已经有很多关于耦合延迟网络的同步结果,但这些结果一般都是针对非奇异系统的。奇异系统的奇异性使得奇异网络比非奇异网络复杂很多,目前来说,讨论奇异系统的同步性质还是一个有挑战的课题。同时,也正是系统的奇异性使常常应用于同步问题分析的Lyapunov方法在这篇文章中不能直接应用。本文中所讨论的奇异系统是正规无脉冲的。应用线性矩阵不等式(LMI)方法,给出了网络全局同步的充分条件。最后,我们给出了仿真例子说明我们给出方法的有效性。
his paper considers synchronization problem of singular hybrid networks with coupled delay. Although, for nonsingular systems with delays, there are a number of synchronization results, the corresponding results for singular systems is still a challenging task, because of the singularity, which is the reason we are not able to utilize the Lyapunov method directly here, make singular systems much more complicated than regular systems. The singular system is regular and impulsive free. A sufficient condition for global synchronization is derived by developing a strict linear matrix inequality (LMI) designed approach. Finally, two numerical examples are provided to show the effective of the proposed conditions.
曾建芳、曹进德
数学
奇异系统线性矩阵不等式同步耦合延迟
Singular systemLinear matrix inequality (LMI)Synchronizationelayed coupling
曾建芳,曹进德.延迟耦合奇异混杂网络的同步[EB/OL].(2009-05-25)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200905-652.点此复制
评论