Global synchronization of linearly hybrid coupled networks with time-varying delay
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 108-133 |
| Journal / Publication | SIAM Journal on Applied Dynamical Systems |
| Volume | 7 |
| Issue number | 1 |
| Publication status | Published - 2008 |
Link(s)
Abstract
Many real-world large-scale complex networks demonstrate a surprising degree of synchronization. To unravel the underlying mechanics of synchronization in these complex networks, a generally linearly hybrid coupled network with time-varying delay is proposed, and its global synchronization is then further investigated. Several effective sufficient conditions of global synchronization are attained based on the Lyapunov function and a linear matrix inequality (LMI). Both delay-independent and delay-dependent conditions are deduced. In particular, the coupling matrix may be nonsymmetric or nondiagonal. Moreover, the derivative of the time-varying delay is extended to any given value. Finally, a small-world network, a regular network, and scale-free networks with network size are constructed to show the effectiveness of the proposed synchronous criteria. © 2008 Society for Industrial and Applied Mathematics.
Research Area(s)
- Complex networks, Global synchronization, Linear matrix inequality (lmi), Lyapunov function, Time-varying delay
Citation Format(s)
Global synchronization of linearly hybrid coupled networks with time-varying delay. / Yu, Wenwu; Cao, Jinde; Lü, Jinhu.
In: SIAM Journal on Applied Dynamical Systems, Vol. 7, No. 1, 2008, p. 108-133.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
