Two Novel Synchronization Criteria for Unified Chaotic Systems via LMI

In this paper, based on LaSalle's invariance principle and linear matrix inequality (LMI), two novel synchronization criteria for the unified chaotic systems with known or unknown parameters are investigated. In comparison with previous methods, the presented controller contains single state feedback. To our knowledge, the above control scheme is the simplest for synchronizing the unified chaotic system. The theoretical analysis and numerical simulation results are also given, conforming the effectiveness of the proposed scheme.