Delay-dependent synchronization criteria for delayed chaotic systems with parameter mismatches

This paper investigates synchronization between two delayed chaotic systems with parameter mismatches. Based on Lyapunov functional approach and generalized Halanay inequality, some delay-dependent criteria are derived to guarantee the synchronization error converges to a bounded ball, whose radius, referred to as the error level, is also estimated. Moreover, an optimization algorithm is established for error level estimate, and the feedback matrix design is also addressed. Finally, a chaotic neural network is used to illustrate the effectiveness of the proposed method.