| 动态投入产出系统的稳定性分析 |
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| 引用本文： | 郭崇慧,唐焕文. 动态投入产出系统的稳定性分析[J]. 高校应用数学学报(英文版), 2002, 17(4): 473-478. DOI: 10.1007/s11766-996-0013-4 |
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| 作者姓名： | 郭崇慧 唐焕文 |
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| 作者单位： | [1]StateKeyLaboratoryofIntelligentTechnologyandSystems.Dept.ofComputerScienceandTechnology,TsinghuaUniv.,Beijing100084,China [2]Dept.ofAppl.Math.,DalianUniversityofTechnology,Dalian116024 |
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| 摘 要： | The dynamic input-output model is well known in economic theory and practice. In this paper, the asymptotic stability and balanced growth solutions of the dynamic input-output system are considered. Under some natural assumptions which do not require the technical coefficient matrix to be indecomposable,it has been proved that the dynamic input-output system is not asymptotically stable and the closed dynamic input-output model has a balanced growth solution.
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| 关 键 词： | 动态 投入产出系统 稳定性分析 经济学 |
| 收稿时间： | 2002-04-01 |
Stability analysis of the dynamic input-output system |
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| Guo Chonghui,Tang Huanwen. Stability analysis of the dynamic input-output system[J]. Applied Mathematics A Journal of Chinese Universities, 2002, 17(4): 473-478. DOI: 10.1007/s11766-996-0013-4 |
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| Authors: | Guo Chonghui Tang Huanwen |
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| Affiliation: | Dept.of Appl.Math.,Dalian University of Technology,Dalian 116024;State Key Laboratory of Intelligent Technology and Systems.Dept.of Computer Science and Technology, Tsinghua Univ., Beijing 100084,China;Dept.of Appl.Math.,Dalian University of Technology,Dalian 116024 |
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| Abstract: | The dynamic input output model is well known in economic theory and practice.In this paper,the asymptotic stability and balanced growth solutions of the dynamic input output system are considered.Under some natural assumptions which do not require the technical coefficient matrix to be indecomposable,it has been proved that the dynamic input output system is not asymptotically stable and the closed dynamic input output model has a balanced growth solution. |
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| Keywords: | input|output analysis singular system asymptotic stability balanced growth. |
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