Design of the input-output model toolbox in Matlab

Matlab is a high-performance language for scientific and technical computing. It integrates computation, visualization, and programming in an environment which provides many specific toolboxes. Different toolboxes can be used in corresponding areas, such as math, control theory, economics. We described the design of the Leontief input-output model toolbox which can simulate the trajectories of input and output of economic systems and automatically control the run of economic systems. By means of mathematic methods, the Leontief input-output systems were directly treated without converted to general systems. A sufficient condition under which the Leontief input-output models are stable is investigated. Based on this, the control algorithm is derived. Finally, the code of the input-output toolbox is provided.