Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 59, Issue 11, Pages 2692-2701Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2012.2190573
Keywords
Complex network; directed spanning tree; M-matrix; pinning-controllability; synchronization
Categories
Funding
- National Science Foundation of China [11072059, 60971046, 61104145, 61175119]
- Research Fund for the Doctoral Program of Higher Education of China [20110092120024]
- National 863 Program [2010AA09Z206]
- Natural Science Foundation of Jiangsu Province of China [BK2011581]
- Natural Science Foundation of Henan Province of China [12B480005, 112102310473]
Ask authors/readers for more resources
This paper presents a systematic framework to analyze the global pinning-controllability of general complex networks with or without time-delay based on the properties of M-matrices and directed spanning trees. Some stability criteria are established to guarantee that a network can be globally asymptotically pinned to a homogenous state. By partitioning the interaction diagraph into a minimum number of components, a selective pinning scheme for a complex network with arbitrary topology is proposed to determine the number and the locations of the pinned nodes. In particular, this paper deeply investigates the roles of network nodes in the pinning control, including what kind of nodes should be pinned and what kind of nodes may be left unpinned. Numerical simulations are given to verify the theoretical analysis.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available