Stability and stabilization of Economic Dynamical Input-output Model

This paper researches the problems of stability and stabilization for the economic discrete-time singular dynamic input-output model. Linear matrix inequality approach is applied to directly study the economic singular dynamic input-output systems. Thus these economic models need not be converted into general systems by altered the state vector and control vector. A sufficient stability condition under which the discrete-time singular input-output model is admissible is proved with linear matrix inequality. Base on this, a new stabilization criterion is established by means of linear matrix inequality. Then the formula of a desired state feedback controller is easily derived.