学术报告第201309期

报告题目：  Stability and Boundedness of Nonlinear Hybrid Stochastic Differential Delay Equations

报告人：    毛学荣教授(英国Strathclyde大学)

报告时间：  2013年7月4日下午4：30

报告地点：  南一楼中311会议室

邀 请 方：“多谱信息处理技术”国家级重点实验室

Absaract

One of the important issues in the study of hybrid SDDEs is the  automatic control, with consequent emphasis being placed on  the asymptotic analysis of stability and  boundedness. The method of Lyapunov functions is one of the most powerful  techniques in the study of stability and boundedness. So far, most of the results in this area do not only require the Lyapunov  functions in different modes have a same feature (e.g. polynomials with a same degree) but also the  diffusion operator in different mode be bounded by the same type of functions.These requirements are  restrictive and often can not be met by those hybrid SDDEs that have different nonlinear structures in different  modes.To study the stability and boundedness of such hybrid SDDEs, we will in  this paper use different types of Lyapunov functions (e.g. polynomials with  different degrees) for different modes.Moreover, the condition on the diffusion  operator is relaxed significantly.

毛学荣教授长期从事随机分析与随机控制方面的研究，2008年当选爱丁堡皇家科学院院士(FRSE:  Fellow of the Royal Society of Edinburgh)。毛学荣教授现任英国Strathclyde大学数学与统计系系主任，兼任爱丁堡皇家学会会刊Proceeding  of the Royal Society of Edinburgh: Sectioin A Mathematics执行主编、British  Journal of Mathematics & Computer Science杂志主编以及其他多个国际杂志的编委。毛学荣教授迄今为止发表200多篇SCI论文，出版6本专著，SCI总引用超过5000次，其中《Stochastic  Differential Equations and Applications》一书SCI引用超过1000次。H因子(H-index)高达40，有10篇论文进入Science  Direct最热门文献（TOP  25 Hottest Articles）。