数学与统计学院学术报告[2021] 018号

(高水平大学建设系列报告518号)

报告题目: Stabilisation of Highly Nonlinear Hybrid Systems by Feedback Control based on Discrete-Time State Observations

报告人：  Xuerong Mao　 Department of Mathematics and Statistics,

University of Strathclyde, Glasgow G1 1XH, U.K.

报告时间：2021年4月9日 15：30-17：00

直播平台及链接： 腾讯会议  361 414 473

报告内容：This talk is concerned with the stabilisation of nonlinear hybrid stochastic  differential  equations (SDEs). Different from the classical continuous-time feedback control, we here use the feedback control based on discrete-time state observations.

This stabilisation problem has been intensively studied by many researchers since 2013.  The common restrictive condition imposed in the existing papers is that both drift and diffusion coefficients of the underlying hybrid SDE need to satisfy the linear growth condition (namely bounded by linear functions). It is this restrictive condition that excludes many SDE models in the real world. It is therefore necessary and important to establish a new theory which shows how to design the feedback controls based on the discrete-time state observations in order to stabilise highly nonlinear hybrid SDEs.  In this talk, we will show such feedback controls under the condition that both drift and diffusion coefficients of the underlying hybrid SDE may grow at most polynomially.

报告人简历：毛学荣教授是英国斯克莱德大学数学与统计系教授、英国苏格兰皇家学院院士. 也是“**讲座教授” 获得者. 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300篇，引用11451次，H指数62.

欢迎感兴趣的师生参加！

　数学与统计学院

                                                2021年4月6日