Abstract
In this paper we present a synchronization method for chaotic Lur'e systems by constructing a new piecewise Lyapunov function. Using a delayed feedback control scheme, a delay-dependent stability criterion is derived for the synchronization of chaotic systems that are represented by Lur'e systems with deadzone nonlinearity. Based on the Lyapunov-Krasovskii functional and by using some properties of the nonlinearity, a new delay-dependent stabilization condition for synchronization is obtained via linear matrix inequality (LMI) formulation. The criterion is less conservative than existing ones, and it will be verified through a numerical example.
| Original language | English |
|---|---|
| Article number | 010506 |
| Journal | Chinese Physics B |
| Volume | 20 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2011 |
Keywords
- deadzone
- linear matrix inequality
- Lur'e systems
- synchronization