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Pinning control of complex networks via edge snapping
P DeLellis1, M di Bernardo, M Porfiri
1Department of Systems and Computer Science, University of Naples Federico II, Naples 80125, Italy. pietro.delellis@unina.it.
Chaos (Woodbury, N.Y.)
|October 7, 2011
Summary
We introduce new decentralized adaptive pinning strategies for synchronizing complex networks. These methods automatically select control sites, improving network synchronization performance through adaptive gains and network evolution.
Area of Science:
- Complex Networks
- Control Theory
- Network Synchronization
- Decentralized Systems
Background:
- Controlled synchronization of complex networks is crucial for various applications.
- Existing methods often require centralized control or predefined pinning sites.
- Decentralized approaches are needed for scalability and robustness in large networks.
Purpose of the Study:
- To propose a hierarchy of novel decentralized adaptive pinning strategies.
- To enable controlled synchronization of complex networks without centralized site selection.
- To investigate strategies based on edge snapping for site selection.
Main Methods:
- Development of a hierarchy of three decentralized adaptive pinning strategies.
- Utilizing edge snapping for fully decentralized selection of pinning sites.
- Incorporating network evolution and adaptation of coupling/control gains.
Main Results:
- Demonstrated the effectiveness of the proposed decentralized strategies.
- Showcased improved synchronization performance through adaptive gain control.
- Validated theoretical findings with extensive numerical simulations on testbeds.
Conclusions:
- The proposed hierarchy offers effective decentralized adaptive pinning strategies.
- Edge snapping provides a robust mechanism for decentralized site selection.
- These strategies enhance controlled synchronization in complex networks.
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