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Stabilisation of Highly Nonlinear Hybrid Stochastic Differential Delay Equations by Delay Feedback Control

时间:2020.12.6 18:00-19:30

地点:腾讯会议 665 511 903

主讲人:毛学荣

主讲人简介:

毛学荣教授是英国斯克莱德大学数学与统计系教授、英国苏格兰皇家学会(即英国苏格兰皇家学院), 也是2020科睿唯安全球高被引科学家. 最近他还获得英国沃弗森研究功勋奖。 他是国际知名的随机稳定性和随机控制领域的专家,在本学科领域享有很高的声誉, 为现代随机稳定性领域的奠基人. 他擅长随机分析,在对随机系统处理方面,提出了系列处理方法与技巧,很有特色,被广泛采用,在该领域做出了巨大的贡献。例如,对噪声镇定给出了科学的理论,被后续跟踪者所广泛推崇;在随机根过程做出了完整的工作;在随机人口理论方面做出了突出的贡献;在随机系统LaSalle原理方面做出了开拓性的工作;奠定了随机跳变系统理论方面的研究。目前他引领着对高非线性随机系统的稳定,镇定,数值计算与仿真的研究。至今, 已出版学术专著五部,在国际学术杂志上发表了许多高影响的论文。被SCI收录论文303篇,引用11656次,H指数62.

内容摘要:

Given an unstable hybrid stochastic differential equation (SDDE, also known as an SDDE with Markovian switching), can we design a delay feedback control to make the controlled hybrid SDDE become asymptotically stable?  If the feedback control is based on the current state, the stabilization problem has been studied.  However, there is little known when the feedback control is based on the past state. The problem becomes even harder when the coefficients of the underlying hybrid SDDE do not satisfy the linear growth condition (namely, the coefficients are highly nonlinear). The aim of this research is to tackle the stabilization problem for a given unstable highly nonlinear hybrid SDDE.

主持人:张振中