报告题目：New Type Stability Theorems for Stochastic Systems with Application to Stochastic Stabilization

报告摘要：In this talk, a new type stability theorems for stochastic systems and its application to stochastic stabilization are introduced. Firstly, a new type of stability theorem for stochastic systems is introduced. Based on this stability theorem and its corollaries, stochastic stabilization and destabilization by noise are further investigated. In the work, the local Lipschitz condition is weakened to the generalized local Lipschitz condition. The commonly used linear growth condition or one-side linear growth condition is weakened to the generalized one-side linear growth condition, which is local, variable and nonlinear, admits nearly arbitrary variability in the time and real nonlinearity in the state. As an application, a simple and direct design method is proposed for fnding a noise strength ^ g(t; x) so that the added noise g(t; x)dB(t) stabilizes an unstable stochastic system or destabilizes a stable one. A numerical example is presented at the end of the note to illustrate the usage and efficiency of the proposed design method of the note.

报告时间：2016年12月20日（星期二）上午10:00-11:00

报告地点：教学二楼伟德国际1946源自英国大会议室2126

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报告人简介：邓飞其教授是华南理工大学教授，博士生导师，系统工程研究所所长、广东省政务信息专家、现为中国系统仿真学会控制系统与计算机设计专业委员会委员、广东省系统工程学会常务理事、学校科技处副处长、《华南理工大学学报》副主编、《控制理论与应用》、《系统工程与电子技术》、《系统工程学报》编委； 近年在国际权威刊物IEEE汇刊、Automatica、SIAM Journal of Control and Optimization发表学术论文300余篇，主主要研究兴趣为控制理论与系统工程，包括：动力系统的稳定性分析、随机与非线性系统的控制理论、信息系统开发等。近年来，共主持纵向项目4项，（国家与省自然科学资金）参加项目共9项等。（对随机系统的变结构控制进行了系统的研究，出版专著《随机系统的变结构控制》，国家重点图书）。