Extended dissipative exponential synchronization of complex dynamical systems with coupling delay and sampled-data control

Extended dissipative exponential synchronization of complex dynamical systems with coupling delay and sampled-data control
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具有耦合延迟和采样数据控制的复杂动力系统的扩展耗散指数同步

DOI:
10.1016/j.jfranklin.2016.03.003
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发表时间:
2016-05
影响因子:
4.1
通讯作者:
Wang, Xin
Wang, Xin
中科院分区:
计算机科学3区
文献类型:
--
作者:
Yang, Huilan;Shu, Lan;Zhong, Shouming;Wang, Xin

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本文通过提出一种采样数据反馈控制方案,研究了具有耦合时滞的复杂动力系统指数同步的采样数据控制问题。通过构造一个新的李雅普诺夫泛函,充分考虑了t− tk和tk + 1− t的信息,<$t∈[tk,tk + 1),基于李雅普诺夫稳定性理论得到了一个新的充分同步判据.在此基础上,将H∞性能、无源性性能、耗散性性能和L2 − L∞性能统一起来,得到了广义耗散性分析问题的严格线性矩阵不等式的充分条件.最后通过仿真算例验证了该方法的有效性和降低的保守性。
In this paper, by proposing a sampled-data feedback control scheme, we investigate the sampled-data control problem for exponential synchronization of complex dynamical systems with coupling delay. Through constructing a novel Lyapunov functional, which takes a full consideration of the information of t− t k and t k+ 1− t,∀ t∈[t k, t k+ 1), a new sufficient synchronization criterion is obtained based on the Lyapunov stability theory. Further, we consider the extended dissipativity analysis problem, which contains the H∞ performance, passivity performance, dissipativity performance and L 2− L∞ performance in a unified framework, and a sufficient condition in terms of strict LMIs is derived. Finally, simulation examples are employed to demonstrate the effectiveness and the reduced conservatism of the proposed method.
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