Abstract
In this paper a four-dimensional hyperchaotic system with only one equilibrium is consid-ered and it is shown how the control and the synchronization of this system can be realizedvia two different control techniques. Firstly, we propose a periodically intermittent con-troller to stabilize the system states to the equilibrium and to achieve the projective syn-chronization of the system both in its periodic and hyperchaotic regime. Then, based on thestability properties of a passive system, we design a linear passive controller, which onlyrequires the knowledge of the system output, to drive the system trajectories asymptoti-cally to the origin. Using the same passivity-based method, the complete synchronizationof the hyperchaotic system is also obtained. Both the intermittent and the passive control-lers are feedback, global and easy to implement. Numerical simulations are included toshow the effectiveness of the designed controllers in realizing the stabilization and the syn-chronization of the hyperchaotic system.
Lingua originale | English |
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pagine (da-a) | 367-382 |
Numero di pagine | 16 |
Rivista | Applied Mathematics and Computation |
Volume | 221 |
Stato di pubblicazione | Published - 2013 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2605???
- ???subjectarea.asjc.2600.2604???