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. © 2024 Elsevier B.V.