Master-slave synchronization of 4th order Lü chaotic oscillators via linear output feedback

Antonio Loria (1)

1 L2S - Laboratoire des signaux et systèmes

We solve the problem of master-slave synchroniza- tion of fourth-order Lü's hyperchaotic systems via feedback con- trol. We use only one control input that enters in the slave system. We show that this simple feedback suffices to synchronize both systems exponentially fast. We provide a proof of stability and con- vergence (hence, that synchronization takes place) via Lyapunov's second stability method. We provide some numeric simulations that illustrate our findings.

Domaines: Automatique / Robotique; Dynamique Chaotique [nlin.CD]

Antonio Loria. Master-slave synchronization of 4th order Lü chaotic oscillators via linear output feedback. IEEE Transactions on Circuits and Systems Part 2 Analog and Digital Signal Processing, 2010, 57 (3), pp.213-217. ⟨10.1109/TCSII.2010.2040303⟩. ⟨hal-00521511⟩