New Results on Quasi‐Dynamic Analysis of Quaternion‐Valued Memristive Neural Networks on Time Scales

ABSTRACT This note solves the quasi‐stability/synchronization for memristive neural networks on time scales. A novel Lemma is given to estimate the modulus of the quaternions, which avoids comparing the “size” of quaternions. Subsequently, a new scale‐limited Halanay inequality is given to solve the quasi‐synchronization control of the system in the time‐scale domain. The validity of the theoretical results is illustrated by two examples.