Event-triggered synchronization control for complex networks with uncertain inner coupling
Event-triggered synchronization control for complex networks with uncertain inner coupling
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DOI：
10.1080/03081079.2014.973725
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发表时间：
2015-01
影响因子：
2
通讯作者：
Qi Li;Bo Shen;Jinling Liang;H. Shu
中科院分区：
文献类型：
--
作者：
Qi Li;Bo Shen;Jinling Liang;H. Shu
研究了一类具有不确定内部耦合的复杂网络的事件触发同步控制问题。所考虑的不确定性内耦合的区间矩阵的特点。为了节省通信和计算资源，采用基于事件的机制，提出了一种适用于复杂网络的事件触发同步控制方案。首先，我们将事件触发的同步控制问题转化为一类新的多时滞动力系统的指数镇定问题。然后，利用李雅普诺夫稳定性理论，得到了多时滞系统指数稳定的充分条件。随后，根据线性矩阵不等式的解设计了一组事件触发的同步控制器，该不等式可以利用现有软件有效求解。最后，数值仿真例子表明了所提出的事件触发控制方案的有效性。
This paper is concerned with the event-triggered synchronization control problem for a class of complex networks with uncertain inner couplings. The uncertain inner coupling under consideration is characterized in terms of the interval matrix. In order to save the communication and computation resources, the event-based mechanism is adopted and the event-triggered synchronization control scheme is proposed for the complex networks. First, we transform the event-triggered synchronization control problem into the exponential stabilization problem for a new class of dynamical systems with multiple delays. Then, by employing the Lyapunov stability theory, we derive a sufficient condition under which the multi-delayed system is exponentially stable. Subsequently, a set of event-triggered synchronization controllers is designed in terms of the solution to a linear matrix inequality that can be solved effectively by using available software. Finally, a numerical simulation example is presented to show the effectiveness of the proposed event-triggered control scheme.