Abstract
In this paper, the exponential synchronization problem of delayed coupled reaction-diffusion systems on networks (DCRDSNs) is investigated. Based on graph theory, a systematic method is designed to achieve exponential synchronization between two DCRDSNs by constructing a global Lyapunov function for error system. Two different kinds of sufficient synchronization criteria are derived in the form of Lyapunov functions and coefficients of drive-response systems, respectively. Finally, a numerical example is given to show the usefulness of the proposed criteria.
| Original language | English |
|---|---|
| Pages (from-to) | 2216-2228 |
| Number of pages | 13 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 38 |
| Issue number | 11 |
| DOIs | |
| State | Published - 30 Jul 2015 |
Keywords
- coupled system
- exponential synchronization
- graph theory
- time-varying delay
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