基于移动服务的扩展不确定性投入产出模型的稳定性分析(英文)

Stability of extended uncertain Leontief input-output model on mobile services

研究移动服务企业的投入产出过程。基于经典的Leontief投入产出经济学的基本理论,提出一种扩展的广义动态投入产出模型,并研究了其稳定性问题。传统的投入产出模型稳定性研究方法是把广义系统转换为一般系统,针对移动服务的短过程特点,应用新方法直接处理广义模型。考虑参数的不确定性,提出了新的稳定性判断方法以确保移动服务过程中投入产出模型的稳定性。

A model to describe companies’ input-output process on mobile services is developed and tested.Through the theories from Leontief input-output economics,an extended singular dynamic input-output model on mobile service is provided.The problem of stability of this kind of input-output model on mobile services is researched.A new mathematical method is applied to study the singular systems without converting them into general systems.The parameter uncertainties are considered.A new stability criterion for the extended singular dynamic input-output model is given to ensure the stability of input-output model.