基于随机牵制控制器的复杂网络系统的镇定

Stabilization of Complex Networks via Stochastic Pinning Controller

( 辽宁石油化工大学 信息与控制工程学院,辽宁 抚顺1 1 3 0 0 1)

School of Information and Control Engineering, Liaoning Shihua University, Fushun Liaoning 113001, China

关键词: 复杂网络, 随机牵制控制, 随机稳定, 鲁棒性, 自适应控制

It was focused on the pinning control problem for a class of complex dynamic networks with linearly continuoustime coupled nodes. A new method for designing pinning controllers with stochastic pinning viewpoint is firstly proposed, which is referred to be stochastic pinning control. By adding such a controller to a fraction of nodes the stochastic stability of the entire complex networks can be guaranteed. It is claimed that the stochastic pinning control method without adding the selected nodes always could also stabilize the complex networks. By exploiting the robust method, sufficient condition is given for a kind of generally complex networks with coupling matrix changing to be another one, where the designed stochastic pinning controller is still available. Based on the established results, some results with the expectation of Bernouli variable uncertain and unknown are presented too. Finally, the correctness and effectiveness of the proposed methods is verified by a numerical example.

国家自然科学基金项目( 6 1 1 0 4 0 6 6, 6 1 4 7 3 1 4 0);中国博士后面上项目( 2 0 1 2M 5 2 1 0 8 6);辽宁省高等学校优秀人才支 持计划项目( L J Q 2 0 1 3 0 4 0);辽宁省自然科学基金项目( 2 0 1 4 0 2 0 1 0 6) 。

10.3696/j.issn.1672-6952.2016.01.012