LAUSR

Abstract In this paper, we discuss the passivity of coupled different dimensional neural networks. On the one hand, several passivity criteria for the coupled neural networks with different dimensional nodes are proposed by making using of some inequality techniques and Lyapunov functional method. Furthermore, we study the pinning passivity of coupled different dimensional neural networks with fixed and adaptive coupling strength, and obtain some sufficient conditions to ensure the pinning passivity of the considered network by designing proper pinning controllers. On the other hand, the passivity analysis and pinning control problem for coupled different dimensional delayed neural networks are studied similarly. Finally, the effectiveness of the derived results are verified by two numerical examples.