Stabilization of highly nonlinear hybrid stochastic differential delay equations with Lévy noise by delay feedback control

主讲人：董海玲

摘要：In this talk, we will focuse on a class of highly nonlinear stochastic differential delay equations (SDDEs) driven by Lévy noise and Markovian chain, where the drift and diffusion coefficients satisfy more general polynomial growth condition. Under the local Lipschitz condition, the existence-and-unique theorem of the solution to the highly nonlinear SDDE is established. The key aim is to investigate the stabilization problem by delay feedback controls. The key features include that the time delay in the given system is of time-varying and may not be differentiable while the time lag in the feedback control can also be of time-varying as long as it has a sufficiently small upper bound.

主讲人简介：董海玲，2008年6月博士毕业于中南大学，同年7月任职于深圳大学，2011年12月晋升副教授，现为深圳大学统计学专业硕士生导师，2014年入选深圳市高层次人才计划，2018年入选深圳市孔雀人才计划，2017-2018获国家留学基金委资助赴美国访学一年，中国自动化学会随机控制学组委员，广东省现场统计学会理事。主要研究方为随机过程、随机微分方程与随机控制等。近年来，在《SIAM Journal on Control and Optimization》 、《Automatica》、《IEEE Transactions on Neural Networks and Learning Systems》等国际著名学术期刊发表论文30余篇；先后主持及参加国家自然科学基金项目2项，广东省自然科学基金面上项目2项，深圳市自然科学基金面上项目2项。

邀请人：吴付科

时间：2023年5月8日（星期一）14:30-16:00