Event-based cluster synchronization of coupled genetic regulatory networks
Event-based cluster synchronization of coupled genetic regulatory networks
复制标题
耦合遗传调控网络的基于事件的集群同步
DOI：
10.1016/j.physa.2017.04.024
复制
发表时间：
2017
影响因子：
3.3
通讯作者：
Lai Qiang
中科院分区：
文献类型：
--
作者：
Yue D;an;Guan Zhi-Hong;Li Tao;Liao Rui-Quan;Liu Feng;Lai Qiang
本文利用基于事件的策略和钉扎控制，研究了具有有向拓扑的耦合遗传调控网络的集群同步。提出了一种事件触发条件，其阈值由邻居在自己的事件时刻的离散状态和状态无关的指数衰减函数组成。簇内状态信息和簇外状态信息以不同的方式参与阈值。利用Lyapunov函数方法以及矩阵和不等式理论，我们建立了集群同步准则。结果表明，在所提出的触发条件下，既避免了信息的连续传输，又保证了芝诺行为的排除。获得关于阈值中的参数的显式条件以用于同步。还给出了简化触发条件下单个GRN的稳定性判据。提供数值例子来验证理论结果。
In this paper, the cluster synchronization of coupled genetic regulatory networks with a directed topology is studied by using the event-based strategy and pinning control. An event-triggered condition with a threshold consisting of the neighbors’ discrete states at their own event time instants and a state-independent exponential decay function is proposed. The intra-cluster states information and extra-cluster states information are involved in the threshold in different ways. By using the Lyapunov function approach and the theories of matrices and inequalities, we establish the cluster synchronization criterion. It is shown that both the avoidance of continuous transmission of information and the exclusion of the Zeno behavior are ensured under the presented triggering condition. Explicit conditions on the parameters in the threshold are obtained for synchronization. The stability criterion of a single GRN is also given under the reduced triggering condition. Numerical examples are provided to validate the theoretical results.