Computer Analysis Algorithm for Stability of the Extended Dynamic Leontief Input-output Model

Abstract

This paper deals with the problem of computer analysis algorithm for the extended dynamic leontief input-output model. A new mathematic method is applied to study the singular systems without converting them into general systems. The parameter uncertainties are considered and are assumed to be Markovian jumping system. A new stability criterion for this singular model is given to ensure the stability of singular input-output model in terms of linear matrix inequality which can turn directly into computer control programs. Finally, the computer controller is provided to prove the applicability of the proposed method.