Lag synchronization of complex-valued interval neural networks via distributed delayed impulsive control

Abstract

This paper investigates the lag synchronization problem of complex-valued interval neural networks with both discrete and distributed time-varying delays under delayed impulsive control. A distributed delayed impulsive controller that depends on the accumulation of the states over a history time period is designed to guarantee the exponential lag synchronization between the drive and the response systems. By employing the complex Lyapunov method and a novel impulsive differential inequality technique, some delay-dependent synchronization criteria are established in terms of complex-valued linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

Keywords

• complex-valued interval neural networks
• exponential lag synchronization
• distributed delayed impulsive control
• mixed time-delays
• impulsive differential inequality