Lagrange stability of quaternion‐valued memristive neural networks

Abstract

In this paper, the Lagrange stability (LS) for quaternion memristive neural networks with time delay is taken into consideration. On the strength of Lyapunov function, conclusions are derived such that the resultant system is stable in Lagrange sense. The analysis procedure adopts properties of quaternions instead of conventional decomposition method. The nonlinear scalarization approach is further exploited to compare the size of the quaternion, which makes the convex closures formed by quaternions more noteworthy.