Global Mittag-Leffler stability for a coupled system of fractional-order differential equations on network without strong connectedness

报告学者:考永贵

报告者单位:哈尔滨工业大学

报告时间:2024年7月6日(周六)14:10-14:45

报告地点:红果园三层多功能厅

报告摘要:In this topic, we study the global Mittag-Leffler stability problem for the equilibrium point of a new fractional-order coupled system on network without strong connectedness. We extended the integer-order couple systems into fractional-order systems on complex network without strong connectedness. Based on the hierarchical method and directed graph theory, some sufficient conditions are derived to ensure the existence, uniqueness and the global Mittag-Leffler stability of the solution of this kind of coupled systems on network. Finally, a numerical example is provided to demonstrate the validity and feasibility of the obtained results. The new method can help analyze the dynamics of complex networks. 

简介:考永贵,哈尔滨工业大学,教授,博士生导师。从事随机微分方程理论与应用、随机控制、变结构控制的理论与应用、复杂网络以及神经网络的研究工作。在电子工业出版社出版译著1部,在springer合作出版英文专著3部,在科学出版社合作出版中文专著2部。主持国家自然科学基金面上项目3项;省基础重大1项;参与国家自然科学基金、863项目子课题、国防基础研究,总装预演等项目10余项。黑龙江省工业与应用数学学会常务理事,副秘书长。中国自动化学会多个专委会委员。曾进入斯坦福大学全球前2%顶尖学者榜单。2020年获得山东省自然科学奖二等奖(首位)。