讲座题目：Stabilization in Distribution of Hybrid Systems by Intermittent Noise

主办单位：长江大学信息与数学学院

报告专家：胡军浩（中南民族大学大学 教授）

报告时间：2021年7月7（周三） 11:00-12:00

报告地点：东校区8-406

专家简介：胡军浩，中南民族大学数学与统计学学院教授、院长。2007 年毕业于华中科技大学，获理学博士学位。2008 年至 2010 年, 在华中科技大学从事博士后研究。2011 年至 2012 年，在英国思克莱德大学从事博士后研究。2014 年被中南民族大学聘为教授。主要从事随机系统理论与应用、动力系统等领域的研究。主持两项国家自然科学基金面上项目、一项国家自然科学基金青年项目、湖北省自然科学基金等，参加国家自然科学基金重点项目。已在国内外学术期刊上发表论文五十余篇。获得湖北省自然科学奖（三等奖）。

摘要：For many stochastic hybrid systems in the real world, it is inappropriate

study if their solutions will converge to an equilibrium state (say, 0 or the trivial

solution) but more appropriate to discuss if the probability distributions of the

solutions will converge to a stationary distribution. The former is known as the

asymptotic stability of the trivial solution while the latter the stability in distribution.

In this talk we aims to determine whether or not a stochastic state feedback control

can make a given nonlinear hybrid differential equation, which is not stable in

distribution, to become stable in distribution. We will refer to this problem as

stabilisation in distribution by noise or stochastic stabilisation in distribution.

Although the stabilisation by noise in the sense of almost surely exponential stability

of the trivial solution has been well studied, there is little known on the stabilization in

distribution by noise.