Robust finite-time boundedness of multi-agent systems subject to parametric uncertainties and disturbances

Abstract

In this paper, we consider finite-time control problems for linear multi-agent systems subject to exogenous constant disturbances and impulses. Some sufficient conditions are obtained to ensure the finite-time boundedness of the multi-agent systems, which could be then reduced to a feasibility problem involving linear matrix inequalities. Numerical examples are given to illustrate the results.

Keywords:

• multi-agent system
• robust finite-time boundedness
• parametric uncertainty
• impulsive disturbance

Acknowledgements

The authors wish to thank the reviewers for a number of constructive comments and suggestions that have improved the quality of the paper.

Additional information

Funding

This work was supported by the Zhejiang Provincial Natural Science Foundation of China [grant number LY14A010008]; the National Natural Science Foundations of China [grant number 11101373], [grant number 61174136], [grant number11271333]; the Natural Science Foundation of Jiangsu Province of China [grant number BK20130017]. It was also supported by the National Natural Science Foundations of China [grant number 10901166], University of Macau [grant number MYRG142 (Y3-L2)-FST11-KKI], [grant number MYRG099(Y1-L2)-FST13-KKI] and the Macao Science and Technology Development Fund [grant number FDCT/094/2011A], [grant number FDCT/099/2012/A3].

Notes on contributors

Liming Lee

Liming Lee received his BS degree in mathematics from Henan Normal University, Xinxiang, China, in 2012. He is currently working toward the MS degree in mathematics from Zhejiang Normal University, Jinhua, China. His research interests include multi-agent systems, impulsive systems and switch systems etc.

Kit Ian Kou

Kit Ian Kou is a mathematician working in the areas of Clifford and Quaternionic analysis. She received her PhD degree in mathematics from University of Macau in 2005. Her research interests include Fourier analysis, approximation and control theory, signal and image processing. She is currently working as an associate professor at the University of Macau.

Wentao Zhang

Wentao Zhang received his BS degree in mathematics from Inner Mongolia Normal University, Huhhot, China, in 2012. He is currently working toward the MS degree in mathematics from Zhejiang Normal University, Jinhua, China. His research interests include multi-agent systems, complex networks and systems etc.

Jinling Liang

Jinling Liang received her BS and MS degrees in mathematics from Northwest University, Xi'an, China, in 1997 and 1999 respectively, and the PhD degree in applied mathematics from Southeast University, Nanjing, China, in 2006. She is currently a professor in the Department of Mathematics, Southeast University. She has published around 60 papers in refereed international journals. Her current research interests include complex networks, nonlinear systems, and bioinformatics.

Yang Liu

Yang Liu received his BS degree in mathematics from Zhejiang Normal University, China in 2003, and the PhD degree from Tongji University, Shanghai in 2008. He is currently an associate professor in Department of Mathematics, Zhejiang Normal University, China. Previously he was a research associate fellow in faculty of science and technology, University of Macau, Macau, China between January and February, June and July 2014 respectively. He is a visiting scholar at Indiana University–Purdue University Fort Wayne between August 2014 and August 2015. He was the recipient of the Shanghai outstanding PhD's thesis award in 2011. His research interests include several complex analysis, switched systems, Boolean networks.