Southwest Jiaotong University School of Mathematics


ag网站亚游登录  >  学术科研  >  学术交流  >  正文

时间变更:英国伦敦帝国理工学院(Imperial College London)黄德青博士学术报告

ag网站亚游登录:   作者:数学系     日期:2015-04-24 00:00:00   点击数:  

报告题目:Nonlinear Stability Analysis and Controller Design for Fluid Flow Systems Using Sum of Squares of Polynomials


  报告人:Deqing Huang, Department of Aeronautics, Imperial College London


The stability analysis of fluid flows, typically modelled by nonlinear Partial Differential Equations (PDEs), is of fundamental importance for understanding unsteadiness and turbulence as well as proposing active flow control algorithms for, e.g. reducing drag and improving fuel efficiency in some applications. In this talk we will present a new approach for stability analysis and control of fluid flows, based on a recent progress in the application of Sum of Squares of polynomials and semi-definite programming in combination with a Lyapunov-based approach to stability analysis and design. The approach is first developed for Ordinary Differential Equations (ODEs) polynomial systems, and then extended to PDEs systems that may be converted to uncertain ODEs. The effectiveness of the proposed method is demonstrated by means of global stability analysis of a class of rotating Couette flow and long-time average cost control of a simple cylinder flow model under persistent perturbation of random noise.



  报告时间:2015427日 星期一 上午10:30



XML 地图 | Sitemap 地图