Absolute stability of Lurie indirect control large-scale systems

By using the large-scale system technique and Lyapunov second method, this paper studies a class of Lurie indirect control large-scale systems, and builds up a relationship between this kind of systems and the stability of the reduced dimensionality in accordance with the Metzler matrix. The sufficient conditions of the absolute stability about this Lurie indirect control system are obtained. The presented method is simple, and its superiority is shown by an example.