Exponential synchronization of quaternion-valued memristor-based neural networks with time-varying delays

In this paper, the global exponential synchronization of quaternion-valued memristor-based neural networks with time-varying delays is discussed. Firstly, by using the differential inclusion theory and the set-valued map theory, the discontinuous quaternion-valued memristive neural networks is transformed into an uncertain system with interval parameters. A novel controller is designed to achieve the control goal. With the ?-measure method and Halanay inequality, the criterion for global exponential synchronization of the quaternion-valued memristive neural networks is given. At last, a numerical simulation is given to prove the validity of the main results.

Automated summary

This paper discusses the global exponential synchronization of quaternion-valued memristor-based neural networks with time-varying delays. Firstly, the discontinuous quaternion-valued memristive neural networks are transformed into an uncertain system with interval parameters using differential inclusion theory and set-valued map theory. A novel controller is designed to achieve the control goal. The criterion for global exponential synchronization of the quaternion-valued memristive neural networks is given using the ?-measure method and Halanay inequality. Numerical simulation is provided to prove the validity of the main results.