Lagrange stability of quaternion-valued neural networks with mixed delays on time scales

This study delves into the Lagrange stability of quaternion-valued neural networks (QVNNs) on time scales, the considered model incorporates the leaky delay, discrete delay and distributed delay. By constructing appropriate Lyapunov-Krasovskii functionals on time scales and applying the free-weighted matrix approach along with inequality techniques, a sufficient condition formulated as linear matrix inequalities (LMIs) is obtained, which ensures the Lagrange stability and the attractor regions of networks is estimated. Finally, a numerical example demonstrates the correctness and effectiveness of the method.