Chaotic synchronization and anti-synchronization based on suitable separation

Based on a suitable separation of systems, Lyapunov stability theory and matrix measure, the complete synchronization and anti-synchronization for chaotic systems is investigated. Some simple but generic criteria for the chaotic synchronization and anti-synchronization for chaotic systems are derived, along with a simple configuration by the corresponding suitable separation. Then, to apply the conditions to typical chaotic system—the original Chua's circuit chaotic system such that synchronization and anti-synchronization are achieved.