Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 43, Issue 6, Pages 1688-1697Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCB.2012.2227723
Keywords
Directed spanning tree; leader-following consensus; M-matrix; multiagent system; pinning control
Categories
Funding
- National Science Foundation of China [61273218, 61272530, 11072059, 61104145]
- Research Fund for the Doctoral Program of Higher Education of China [20110092120024]
- Natural Science Foundation of Jiangsu Province of China [BK2011581]
- Natural Science Foundation of Henan Province of China [122102210027, 122300410220, 12B480005]
- Scientific Research Fund of Zhejiang Provincial Education Department [Y201223649]
- Fundamental Research Funds for the Central Universities of China
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This paper considers the leader-following consensus problem for multiagent systems with inherent nonlinear dynamics. Some M-matrix strategies are developed to address several challenging issues in the pinning control of multiagent systems by using algebraic graph theory and the properties of nonnegative matrices. It is shown that second-order leader-following consensus in a nonlinear multiagent system can be reached if the virtual leader has a directed path to every follower and a derived quantity is greater than a positive threshold. In particular, this paper analytically proves that leader-following consensus may be easier to be achieved by pinning more agents or increasing the pinning feedback gains. A selective pinning scheme is then proposed for nonlinear multiagent systems with directed network topologies. Numerical results are given to verify the theoretical analysis.
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