Abstract
In this Letter, pinning synchronization of a directed network with Markovian jump (DNMJ) and nonlinear perturbations is considered. By analyzing the structure of the network, a detailed pinning scheme is given to ensure the synchronization of all nodes in a DNMJ. This pinning scheme can overcome those difficulties on deciding which nodes needs to be pinned. This scheme can also identify the exact least number of pinned nodes for a DNMJ model. In addition, the time-varying polytopic directed network with Markovian jump is discussed. Finally, examples are provided to illustrate the effectiveness of the gained criteria. © 2009 Elsevier B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 439-447 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 374 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 4 Jan 2010 |
Research Keywords
- Directed networks
- Graph Laplacian
- Markovian jump
- Pinning scheme
- Synchronization
- Time-varying polytopic networks
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