1. Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control*
- Author
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Yin-Xing Zhang, Xiao-Fen Qiu, and Kezan Li
- Subjects
Correctness ,Computer science ,Lag ,Multi-agent system ,Stability (learning theory) ,General Physics and Astronomy ,Graph theory ,02 engineering and technology ,021001 nanoscience & nanotechnology ,Topology ,01 natural sciences ,Stability theory ,0103 physical sciences ,Cluster (physics) ,010306 general physics ,0210 nano-technology ,Control (linguistics) - Abstract
We introduce a new consensus pattern, named a successive lag cluster consensus (SLCC), which is a generalized pattern of successive lag consensus (SLC). By applying delay-dependent impulsive control, the SLCC of first-order and second-order multi-agent systems is discussed. Furthermore, based on graph theory and stability theory, some sufficient conditions for the stability of SLCC on multi-agent systems are obtained. Finally, several numerical examples are given to verify the correctness of our theoretical results.
- Published
- 2019
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