Exponential Extended Dissipative Synchronization of Memristive Quaternion Neural Networks With Multiple Time‐Varying Leakage Delays

ABSTRACT This paper studies the exponential extended dissipative synchronization control problem of memristive quaternion neural networks (MQNNs). The types of delays involve time‐varying leakage and distributed and transmission delays. First, an inequality related to solutions of the error system is established. Then, a novel and easy‐to‐implement controller is constructed to obtain an exponential extended dissipative synchronization criterion. Furthermore, an algorithm is put forward to solve nonlinear terms in the obtained criterion. Finally, the effectivity of the derived results is tested by two numerical examples. It is worth emphasizing that the exponential extended dissipative synchronization control problem for MQNNs under consideration is proceeded for the first time. In addition, the method proposed in this paper, with some minor modifications, may solve some practical problems in the analysis and design of MQNNs, especially for applications in areas such as secure communications, image encryption, or artificial intelligence systems.