Abstract
This Letter focuses on the synchronization in a class of dynamical complex networks with each node being a deterministic ratchet. In virtue of the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov (KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of such networks. An interesting conclusion is reached that the stability of synchronization in the coupled whole N-dimensional networks can be converted into that of the simplest 2-dimensional space.
Original language | English |
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Pages (from-to) | 3978-3985 |
Number of pages | 8 |
Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 372 |
Issue number | 22 |
DOIs | |
Publication status | Published - 26 May 2008 |
Externally published | Yes |
Keywords
- Deterministic ratchets
- Dynamical complex networks
- Linear matrix inequality
- Pendulum-like system
- Synchronization