期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 48, 期 12, 页码 2462-2469出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2017.2684911
关键词
Linear matrix inequality (LMI); local consensus; Lyapunov-Krasovskii (L-K) functional; time-varying delay
资金
- National Natural Science Foundation of China [61573130, 61473016, 61374053]
- Science and Technology Innovation Talents Project of Henan Province [164100510004]
- Innovation Scientists and Technicians Troop Construction Projects of Henan Polytechnic University and Henan Province [CXTD2016054]
This paper investigates the local consensus issue for multiagent systems with nonlinear dynamics and time-varying delays. By defining a weighted average state of the agents and applying local linearization, we show that the local consensus of the agents in a directed communication network can be guaranteed by the asymptotic stability of several decoupled delayed systems. Then, by employing a novel Lyapunov-Krasovskii functional, proposing a new extended reciprocally convex approach and using some matrix analysis, we derive a sufficient condition for the local consensus in terms of linear matrix inequalities associated with the dynamics of the agents, the eigenvalues of Laplacian matrix, and the time-varying delay. Finally, two numerical examples are provided to show the effectiveness of the analytical results.
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