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Analysis of Pinning-Controlled Networks: A Renormalization Approach

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2 Author(s)
Ji Xiang ; Dept. of Syst. Sci. & Eng., Zhejiang Univ., Hangzhou, China ; Guanrong Chen

In this paper, a renormalization approach is introduced for analyzing pinning-controlled networks. The renormalization process consists of two operations, edge weighting and node reduction, and is built on a new concept of passivity comparison in the sense of Lyapunov V-stability. Furthermore, a cascaded model resulted from the renormalization process in a layer structure is presented for estimating the V -stability of a network. Finally, simulation studies are presented for illustration and verification of the theoretical results.

Published in:
Automatic Control, IEEE Transactions on  (Volume:54 ,  Issue: 8 )

Date of Publication: Aug. 2009

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