Name
Title | ||
|---|---|---|
Pinning weighted complex networks with heterogeneous delays by a small number of feedback controllers. |
Abstract | ||
|---|---|---|
Weighted complex dynamical networks with heterogeneous delays in both continuous-time and discrete-time domains are controlled
by applying local feedback injections to a small fraction of network nodes. Some generic stability criteria ensuring delay-independent
stability are derived for such controlled networks in terms of linear matrix inequalities (LMIs), which guarantee that by
placing a small number of feedback controllers on some nodes the whole network can be pinned to some desired homogeneous states.
In some particular cases, a single controller can achieve the control objective. It is found that stabilization of such pinned
networks is completely determined by the dynamics of the individual uncoupled node, the overall coupling strength, the inner-coupling
matrix, and the smallest eigenvalue of the coupling and control matrix. Numerical simulations of a weighted network composing
of a 3-dimensional nonlinear system are finally given for illustration and verification. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s11432-008-0043-z | Science in China Series F: Information Sciences |
Keywords | Field | DocType |
3 dimensional,complex dynamics,nonlinear system,numerical simulation,complex network,linear matrix inequality,discrete time | Mathematical optimization,Control theory,Nonlinear system,Coupling,Matrix (mathematics),Control theory,Node (networking),Weighted network,Complex network,Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | Issue | ISSN |
51 | 5 | 18622836 |
Citations | PageRank | References |
10 | 0.80 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| LinYing Xiang | 1 | 87 | 9.77 |
| Zhongxin Liu | 2 | 17 | 1.61 |
| Zeng-Qiang Chen | 3 | 550 | 72.38 |
| Zhuzhi Yuan | 4 | 211 | 16.30 |