Sampled-Data Consensus over Random Networks
Date:
13 Jul, 2018 (Fri)
Time:
3:00 pm
Location:
Room 603, Chow Yei Ching Building

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Speaker

Dr. Junfeng Wu,
Zhejiang University

Abstract

In this talk, we consider the consensus problem for a network of nodes with random interactions and sampled-data control actions. We first show that consensus in expectation, in mean square, and almost surely are equivalent for a general random network model when the inter-sampling interval and maximum node degree satisfy a simple relation. The three types of consensus are shown to be simultaneously achieved over an independent random network defined on an underlying graph with a directed spanning tree. Under independent random network models, necessary and sufficient conditions for mean-square consensus are derived in terms of the spectral radius of the corresponding state transition matrix. These conditions are then interpreted as the existence of critical value on the inter-sampling interval, below which global mean-square consensus is achieved and above which the system diverges in mean-square sense for some initial states. Finally, we establish an upper bound on the inter-sampling interval below which almost sure consensus is reached, and a lower bound on the inter-sampling interval above which almost sure divergence is reached. Some numerical simulations are given to validate the theoretical results and some discussions on the critical value of the inter-sampling intervals for the mean-square consensus are provided. The results for consensus under independent random networks are also extended under independent random networks.

 

Biography of the speaker:

Junfeng Wu received the B.Eng. degree from the Department of Automatic Control, Zhejiang University, Hangzhou, China, and the Ph.D. degree in electrical and computer engineering from Hong Kong University of Science and Technology, Hong Kong, in 2009, and 2013, respectively. From September to December 2013, he was a Research Associate in the Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology. From January 2014 to June 2017, he was a Postdoctoral Researcher in the ACCESS (Autonomic Complex Communication nEtworks, Signals and Systems) Linnaeus Center, School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden. He is currently with the College of Control Science and Engineering, Zhejiang University, Hangzhou, China. His research interests include networked control systems, state estimation, and wireless sensor networks, multiagent systems. Dr. Wu received the Guan Zhao-Zhi Best Paper Award at the 34th Chinese Control Conference in 2015. He was selected to the national “1000-Youth Talent Program” of China in 2016.

 

All are welcome.


Organizer

Dr. T. Liu

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