Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
977339 | Physica A: Statistical Mechanics and its Applications | 2014 | 8 Pages |
Abstract
The control gain region for synchronization of non-diffusively coupled networks was studied with respect to three conditions: synchronization, synchronization in finite time, and synchronization in the minimum time. Based on cancellation control methodology and master stability function formalism, we found that a complete feasible control gain region may be bounded, unbounded, empty or a union of several bounded and unbounded regions, with a similar shape to the synchronized region. An interesting possibility emerged that a network could be synchronized by both negative and positive feedback control simultaneously. By bridging synchronizability and synchronizing response speeds with a settling time index, we have developed timed synchronized region (TSR) as a substitute for the classical synchronized region to study finite time synchronization. As for the last condition, a graphical method was developed to estimate control gain with the minimum synchronization time (CGMST). Each condition has examples provided for illustration and verification.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Liu Gequn, Li Wenhui, Yang Huijie, Gareth Knowles,