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The stability of stochastic coupled systems with time-varying coupling and general topology structure
澳门新葡8455最新网站:2016年11月02日 16:48 点击数:

报告人:李文学

报告地点:澳门新葡8455最新网站105室

报告澳门新葡8455最新网站:2016年11月09日星期三15:50-16:50

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报告摘要:

This paper is concerned with the moment exponential stability of stochastic coupled systems with time-varying coupling and general topology structure (SCTGS). We consider the case when the coupling structure is time-varying and the topology structure is not strongly connected. We first establish the class of novel stochastic coupled systems on a digraph. To cope with the digraph with a large number of vertices which is not strongly connected, we give a hierarchical method and the corresponding algorithm. Also, an example is given to illustrate our hierarchical algorithm and its operability. In the sequel, based on the theory of asymptotically autonomous systems, Kirchhoff’s matrix tree theorem and Lyapunov method, several moment exponential stability criteria are presented, including a Lyapunov-type theorem and a coefficients-type criterion. Furthermore, the theoretical results are applied to stochastic coupled oscillators with time-varying coupling structure (SCTCS), and the stability criterion of SCTCS is obtained. Finally, the theory is illustrated by providing a numerical example.

主讲人概况:

李文学,哈尔滨工业大学(威海)理新葡京最新官网副教授、博士生导师、理新葡京最新官网院长助理、美国数学会《Mathematical Review》评论员。2004年于哈尔滨理工大学获理学学士学位,2006年于哈工大(威海)获理学硕士学位,2009年于哈工大获理学博士学位。2009-2012年于哈工大(威海)任讲师,2012年任副教授,2015年任博士生导师。主要从事随机微分方程研究,主持国家自然科学基金、山东省自然科学基金等项目共7项,发表SCI学术论文40余篇。

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