Novel synchronization conditions for a class of coupled chaotic systems

The linear coupling method is applied to achieve chaos synchronization for a class of chaotic systems, in which the nonlinear functions satisfy the Lipschitz condition. Some new sufficient conditions are developed based on Lyapunov stability theory. By using Gerschgorin theorem in matrix theory, the conditions are then transformed into the forms of algebraic inequalities. The proposed method and conditions are applied to the chaotic Chua's circuits for demonstration.