L2 norm performance index of synchronization and optimal control synthesis of complex networks
| dc.creator | Liu, Chao | |
| dc.creator | Duan, Zhisheng | |
| dc.creator | Chen, Guanrong | |
| dc.creator | Huang, Lin | |
| dc.date | 2007-10-15 | |
| dc.date.accessioned | 2026-07-07T08:36:20Z | |
| dc.date.available | 2026-07-07T08:36:20Z | |
| dc.description | In this paper, the synchronizability problem of dynamical networks is addressed, where better synchronizability means that the network synchronizes faster with lower-overshoot. The L2 norm of the error vector e is taken as a performance index to measure this kind of synchronizability. For the equilibrium synchronization case, it is shown that there is a close relationship between the L2 norm of the error vector e and the H2 norm of the transfer function G of the linearized network about the equilibrium point. Consequently, the effect of the network coupling topology on the H2 norm of the transfer function G is analyzed. Finally, an optimal controller is designed, according to the so-called LQR problem in modern control theory, which can drive the whole network to its equilibrium point and meanwhile minimize the L2 norm of the output of the linearized network. | |
| dc.description | 15 peges, 11 figures | |
| dc.identifier | https://arxiv.org/abs/0710.2736 | |
| dc.identifier | http://arxiv.org/abs/0710.2736 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140026 | |
| dc.subject | Networking and Internet Architecture | |
| dc.subject | C.2.1 | |
| dc.title | L2 norm performance index of synchronization and optimal control synthesis of complex networks | |
| dc.type | text |