应数学系宋明辉教授的邀请,华南理工大学邓飞其教授及广东工业大学彭世国教授将于近日到访公司进行学术交流并做报告,以下是报告信息,欢迎感兴趣的师生参加。
时间:2019年3月18日,上午9:00-11:00
地点:格物楼503室
题目:Stabilisation of hybrid stochastic systems in the presence of asynchronous switching and input delay
摘要:The talk concerns the pth moment and almost sure stabilization of a class of nonlinear hybrid stochastic system with input delays in both the switching signal and the state. By using Lyapunov functional approach, sufficient conditions are established in terms of sizes of the delays ensuring the pth moment exponential stability of the system. By developing a composite mode dependent Lyapunov function approach, we derive novel almost sure exponential stability criteria for a delay-free hybrid stochastic system without imposing the stability condition on the subsystems. The almost sure stability property of the hybrid system with delayed feedback controller is confirmed to be preserved as long as the corresponding delay-free system is almost sure exponential stabilization and the delays are small enough. Numerical examples are applied to demonstrate the theoretical results.
题目:Input-to-State Stability of Time-Varying Impulsive Delayed Systems
摘要:This talk investigates the problems of input-to-state stability (ISS) and integral input-to-state stability (iISS) of time-varying impulsive delayed systems (including continuous- time time-varying impulsive deterministic delayed Systems,continuous-time time-varying impulsive stochastic delayed systems,discrete-time time-varying impulsive delayed systems). Some criteria on ISS/iISS which are effective for destabilizing impulses and stabilizing impulses are derived from advanced linear inequalities under average impulsive interval constraints. The conditions which require the coefficients of the linear inequalities on LKFs and LRFs to be constants in the existing results on ISS/iISS of impulsive delayed systems are weakened. In this topic, with the aid of the notions of uniformly exponentially stable function and average impulsive interval, the results allow the coefficients of the developed linear inequalities on LKFs and LRFs to be time-varying functions which can take both positive and negative values, and the impulsive intervals of an impulsive sequence are allowed to have arbitrarily small lower bound and enough big upper bound simultaneously. Several examples are presented to illustrate the effectiveness of our results.
报告人简介:邓飞其,华南理工大学教授及系统工程学院经理。目前是中国自动化学会控制理论专业委员会(TCCT)委员,同时也是IEEE CSS广州分会的主席。《华南理工大学学报》的副主编,《IEEE Access》AE、《控制理论与应用》、《系统与控制纵横》、《系统工程与电子技术》与《系统工程学报》等期刊编委会成员。主要研究方向包括时滞系统、非线性系统和随机系统的稳定性、镇定与鲁棒控制理论。目前,已经在《IEEE Transactions on Automatic Control》、《Automatica》、《SIAM Journal of Control and Optimization》与《Systems & Control Letters》等期刊发表论文300多篇。
报告人简介:彭世国,广东工业大学自动化学院教授。1989年本科毕业于湘潭大学数学系,分别于1992、1995年获中山大学数学专业硕士学位和博士学位,2004年晋升为教授。近年来主要从事非线性时滞系统的稳定与控制、随机系统的稳定与控制等方面的研究。在IEEE-TAC、IEEE-TFS、SCL、JFI、 IET-CTA、JMAA、NA-RWA、NA-TMA、SPL、AJC、数学年刊、应用数学学报、系统科学与数学、数学物理学报等期刊发表论文80余篇,其中SCI论文30余篇,ESI高被引1篇,单篇SCI他引80余次。承担或参与多项国家自然科学基金项目、广东省自然科学基金自由申请项目及广东省自然科学基金团队项目的研究。