Abstract
This paper investigates the consensus problem of a multi-agent directed network with nonlinear perturbations (MNNP). Our main objective is to study how the nonlinear perturbations affect a consensus of a multi-agent network. Based on a reduced-order transformation, it is shown that an MNNP cannot reach a consensus under a hypothesis even though the discussed network has a spanning tree. The hypothesis shows a detailed relationship between the nonlinear perturbations and the structure of the multi-agent network. An impulsive approach is then introduced, and a simple criterion is presented to guarantee the consensus of all agents for an MNNP. Finally, a numerical example is provided to illustrate the effectiveness of the obtained criterion. Copyright © 2011 John Wiley & Sons, Ltd. Copyright © 2011 John Wiley & Sons, Ltd.
| Original language | English |
|---|---|
| Pages (from-to) | 1571-1582 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 22 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 25 Sept 2012 |
Research Keywords
- consensus
- impulsive system
- Laplacian matrix
- multi-agent directed networks
- nonlinear perturbation
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