### Abstract

We examine the synchronization problem for a group of dynamic agents that communicate via a moving neighborhood network. Each agent is modeled as a random walker in a unite lattice and is equipped with an oscillator. The communication network topology changes randomly and is dictated by the agents' locations in the lattice. Information sharing (talking) is possible only for geographically neighboring agents. The complex system is a time-varying jump nonlinear system. We introduce the concept of long-time expected communication network defined as the ergodic limit of the stochastic time-varying network. We show that if the long-time expected network supports synchronization, then so does the stochastic network when the agents diffuse sufficiently fast in the lattice.

Original language | English (US) |
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Title of host publication | Proceedings of the 2007 American Control Conference, ACC |

Pages | 1413-1418 |

Number of pages | 6 |

DOIs | |

State | Published - 2007 |

Event | 2007 American Control Conference, ACC - New York, NY, United States Duration: Jul 9 2007 → Jul 13 2007 |

### Other

Other | 2007 American Control Conference, ACC |
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Country | United States |

City | New York, NY |

Period | 7/9/07 → 7/13/07 |

### Fingerprint

### Keywords

- Fast switching
- Graph
- Random walk
- Stochastic stability
- Synchronization

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*Proceedings of the 2007 American Control Conference, ACC*(pp. 1413-1418). [4282732] https://doi.org/10.1109/ACC.2007.4282732

**Stochastic synchronization over a moving neighborhood network.** / Porfiri, Maurizio; Stilwell, Daniel J.; Bollt, Erik M.; Skufca, Joseph D.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 2007 American Control Conference, ACC.*, 4282732, pp. 1413-1418, 2007 American Control Conference, ACC, New York, NY, United States, 7/9/07. https://doi.org/10.1109/ACC.2007.4282732

}

TY - GEN

T1 - Stochastic synchronization over a moving neighborhood network

AU - Porfiri, Maurizio

AU - Stilwell, Daniel J.

AU - Bollt, Erik M.

AU - Skufca, Joseph D.

PY - 2007

Y1 - 2007

N2 - We examine the synchronization problem for a group of dynamic agents that communicate via a moving neighborhood network. Each agent is modeled as a random walker in a unite lattice and is equipped with an oscillator. The communication network topology changes randomly and is dictated by the agents' locations in the lattice. Information sharing (talking) is possible only for geographically neighboring agents. The complex system is a time-varying jump nonlinear system. We introduce the concept of long-time expected communication network defined as the ergodic limit of the stochastic time-varying network. We show that if the long-time expected network supports synchronization, then so does the stochastic network when the agents diffuse sufficiently fast in the lattice.

AB - We examine the synchronization problem for a group of dynamic agents that communicate via a moving neighborhood network. Each agent is modeled as a random walker in a unite lattice and is equipped with an oscillator. The communication network topology changes randomly and is dictated by the agents' locations in the lattice. Information sharing (talking) is possible only for geographically neighboring agents. The complex system is a time-varying jump nonlinear system. We introduce the concept of long-time expected communication network defined as the ergodic limit of the stochastic time-varying network. We show that if the long-time expected network supports synchronization, then so does the stochastic network when the agents diffuse sufficiently fast in the lattice.

KW - Fast switching

KW - Graph

KW - Random walk

KW - Stochastic stability

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=46449112168&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=46449112168&partnerID=8YFLogxK

U2 - 10.1109/ACC.2007.4282732

DO - 10.1109/ACC.2007.4282732

M3 - Conference contribution

SN - 1424409888

SN - 9781424409884

SP - 1413

EP - 1418

BT - Proceedings of the 2007 American Control Conference, ACC

ER -