Stability analysis of economic discrete-time singular dynamic input-output model

This paper deals with the problems of robust stability and state feedback control for the economic discrete-time singular dynamic input-output model. By means of a new mathematic method, the singular dynamic input-output system is directly treated with without converted to general system. A sufficient stability condition in the form of linear matrix inequality under which the discrete-time singular input-output model is admissible is proved. Base on this, a simple state feedback stability criterion is established. Then the formula of a desired state feedback controller is given. Finally, a numerical example is provided to simulate the applicability of the proposed method.