| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 759613 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 9 Pages |
In this paper, a new concept of chaos synchronization, which is superior to generalized exponential synchronization, generalized virtual synchronization, and generalized complete synchronization, is firstly introduced and the chaos synchronization of a pair of Duffing–Holmes oscillators with parameter mismatchings, external excitations, and chaotic vibrations is investigated. Based on the time-domain approach with differential inequality, a feedback control is proposed to realize generalized synchronization (generalized exponential synchronization, respectively) for a pair of Duffing–Holmes oscillators without uncertainties (with uncertainties, respectively). In addition, not only the guaranteed exponential convergence rate can be arbitrarily pre-specified but also the critical time can be correctly estimated. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the obtained result.
► The concept of a novel synchronization has been introduced. ► A feedback control has been developed to realize generalized synchronization. ► The guaranteed critical time can be correctly estimated. ► The external disturbance and parameter mismatching can be conquered by the control.
