*主持人：李韬 教授
*讲座内容简介：

This talk focuses on the problem of almost sure exponential stability and stochastic stabilization of hybrid stochastic functional differential equations. By constructing the Lyapunov function and taking full advantage of the properties of stationary distribution, we proved that if corresponding hybrid stochastic differential equations is almost surely exponentially stable, then there exists a positive number ? such that HSFDEs-LN is also almost surely exponentially stable as long as time delay < ?. We also provided a method to determine ? in practice. Furthermore, our new theory has enabled us to design stabilization feedback control based on discrete-time state observations to stabilize unstable differential equations.

*主讲人简介：

程培，安徽大学数学科学学院，教授，博士生导师，2011年6月获华南理工大学系统工程博士学位，2016年9月至2017年9月美国韦恩州立大学访问学者，2014年入选安徽大学青年骨干教师、2017年入选安徽大学优秀人才计划培养对象。以第一作者或通讯作者发表论文30余篇，主持完成3项国家自然科学基金和1项安徽省自然科学基金。长期担任多个SCI期刊和CDC及CCC会议审稿人，控制理论专委会随机系统控制学组委员