Abstract
In this paper, we first investigate input passivity and output passivity for a class of impulsive complex networks with time-varying delays. By constructing suitable Lyapunov functionals, some input passivity and output passivity conditions are derived for the impulsive complex networks. Finally, an example is given to show the effectiveness of the proposed criteria.
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This work was supported by National Natural Science Foundation of China (No. 10971240, No. 6100404, No. 61074057), Natural Science Foundation of Chongqing Province of China (No.CSTC2008BB2364), Foundation of Science and Technology Project of Chongqing Education Commission(No.KJ080806), Fundamental Research Funds for the Central Universities, China (No. YWF-10-01-A19).
Jin-Liang Wang received the M. S. degree in applied mathematics from the Department of Mathematics, Chongqing Normal University, Chongqing, PRC in 2010. Currently, he is a Ph.D. candidate in the School of Automation Science and Electrical Engineering, Beihang University, Beijing, PRC.
His research interests include complex networks, neural networks, impulsive control systems, and cooperative control.
Huai-Ning Wu received the B.Eng. degree in automation from Shandong Institute of Building Materials Industry, Jinan, PRC and the Ph. D. degree in control theory and control engineering from Xi’an Jiaotong University, Xi’an, PRC in 1992 and 1997, respectively. From August 1997 to July 1999, he was a postdoctoral researcher in the Department of Electronic Engineering at Beijing Institute of Technology, Beijing, PRC. Since August 1999, he has been working as professor with the School of Automation Science and Electrical Engineering, Beihang University.
His research interests include robust and reliable control and filtering, time-delay systems, Markovian jump systems, distributed parameter systems, and fuzzy/neural modeling and control.
Zhi-Chun Yang received the B. Sc. degree in mathematics from Southwest University, Chongqing, PRC, the M. Sc. degree in applied mathematics and the Ph.D. degree in operational research and cybernetics from Sichuan University, PRC in 2006. He is currently a professor with the Chongqing Normal University, PRC.
His research interests include qualitative analysis of impulsive and stochastic systems, delay differential systems, biomathematics, and complex networks.
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Wang, JL., Wu, HN. & Yang, ZC. Passivity analysis of impulsive complex networks. Int. J. Autom. Comput. 8, 484–489 (2011). https://doi.org/10.1007/s11633-011-0607-z
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DOI: https://doi.org/10.1007/s11633-011-0607-z