Stability Analysis of Different Quaternion‐Valued Impulsive BAM Neural Networks With Unknown Parameters and Time‐Varying Delays

ABSTRACT The adaptive stability of heterogeneous quaternion‐valued impulse bidirectional associative memory (BAM) neural networks with time‐varying delays and unknown parameters was studied. A new construction of an adaptive controller and the derivation of related stability criteria are presented. It is achieved by designing a new Lyapunov function, incorporating appropriate assumptions into the potential differential equation, and adopting key inequality techniques. Finally, the validity of the proposed conditions is illustrated through numerical examples.