Necessary and sufficient condition for consensus of continuous-time multi-agent hybrid systems

主讲人：邓飞其 华南理工大学教授

时间：2019年7月13日8：30

地点：徐汇校区10号楼222

举办单位：数理学院

主讲人介绍：1997年6月获得华南理工大学控制理论与控制工程专业博士学位。自1999年10月起，担任华南理工大学教授和系统工程学院院长。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。

内容介绍：This talk investigates the mean square consensus problem for continuous-time  multi-agent systems with randomly switching topologies and noises. The switching  is governed by a time-homogeneous Markov process, each topology corresponds to a  state of the process. Meanwhile, the communication noises are also considered  for practical application. We introduce a time-varying gain which can reduce the  effect of communication noises. It is shown that the effect of Markovian  switching topologies mainly depend on the union of topologies associated with  the positive recurrent states of Markov process. Then necessary and sufficient  conditions can be obtained under a control protocol with time-varying gain.  Moreover, we extend our result to the cases that the elements of transition  rates matrix are partly unknown and the topological structure is semi-Markovian  switching. Finally, we give an example to illustrate the validity of our  results.