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Pinning synchronization control for a class of discrete-time switched stochastic complex networks under event-triggered mechanism
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.nahs.2020.100886
Jinghui Suo , Zidong Wang , Bo Shen

Abstract In this paper, the pinning control problem is considered for the synchronization of a class of nonlinear discrete-time switched stochastic complex networks with identical nodes. The networks we considered are very general that account for nonlinear inner-coupling structures and nonidentical exogenous disturbances. In order to save the communication cost, a pinning controller under the event-triggered scheme is designed to realize the synchronization. The notion of bounded synchronization in probability is introduced to characterize the performance of the controlled dynamical networks in the presence of exogenous disturbances, switching rules and event-triggered schemes. Upper bounds of the states of the switched stochastic complex networks are first provided, and then the controller gain, the event-trigger parameters and the average dwell time are co-designed for switched subsystems. At last, a numerical example is given to illustrate the effectiveness of our results.

中文翻译:

事件触发机制下一类离散时间切换随机复杂网络的钉扎同步控制

摘要 本文考虑了一类具有相同节点的非线性离散时间切换随机复杂网络的同步问题。我们考虑的网络非常通用,可以解释非线性内耦合结构和不同的外源干扰。为了节省通信成本,设计了事件触发方案下的pinning控制器来实现同步。引入概率有界同步的概念来表征受控动态网络在存在外源干扰、切换规则和事件触发方案的情况下的性能。首先提供切换随机复网络状态的上限,然后是控制器增益,事件触发参数和平均停留时间是为切换子系统共同设计的。最后,给出了一个数值例子来说明我们结果的有效性。
更新日期:2020-08-01
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