Computer control algorithm of extended dynamic Leontief input-output model

Abstract

This paper researches the design of computer algorithm for the singular dynamic Leontief input-output model with Markovian jumping parameters and uncertainness. A new mathematic method is applied to study the singular systems without converting them into classical linear systems. The parameter uncertainties are considered and are assumed to be time-invariant. A new stability criterion for singular system is given to ensure the stability of singular input-output model. Finally, the corresponding computer control algorithm is provided.