报告人: 邓飞其(华南理工大学)

邀请人：吴付科

报告时间：2021年4月15日(星期四)下午15:30-17:30

报告地点：科技楼(南楼)602室

报告题目：Time-varying Halanay Inequalities with Application to Stability and Control of Delayed Stochastic Systems

报告摘要：A recentely published paper will be shared. In the paper, the Halanay inequality is generalized into the time-varying version under simple and natural conditions, without constant to bound the time-varying coefficients. The solution of the underlying inequality is estimated by virtue of the feasible function pair associated with the coefficients and delays. Corollaries are given for typical special cases. Some approaches are illustrated for the searching of the initial feasible pairs, an iterative procedure is proposed for the optimization of the feasible pairs. The usage and superiority of the obtained result are exhibited by numerical examples with simulations. As a base, the comparison principle for the functional differential inequalities and equations with arbitrary time-varying delays is studied firstly. As an application of the main result, the stability and control of the stochastic systems with time-varying coefficients and delays are investigated, with the main concern to the time variance. An asymptotic stability theorem and a criterion are established, an interesting control strategy, namely the pantograph delay sampled data based feedback, is proposed. The stability criterion and the control strategy are illustrated and verified with numerical experiments.

报告人简介：邓飞其教授，1997年6月在华南理工大学的控制理论与控制工程专业取得博士学位，并于1999年11月被华南理工大学聘为教授，同时担任该校系统工程研究所所长。他现在是校学术委员会委员、中国自动化学会控制理论专业委员会委员，同时也是IEEE CSS广州分会的主席。他是《华南理工大学学报》的副主编，是《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。他的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。到目前为止，他已经在《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。