广义Leontief投入产出模型的计算机控制算法
Computer Control Algorithm of Singular Leontief Input-Output Model

作者: 江 磊 , 方建安 :东华大学,上海;

关键词: 动态投入产出模型经济控制论计算机控制系统Dynamical Input-Output Model Economical Cybernetics Computer Control System

摘要:
在传统的经济学中,经济系统的发展应当是开放的持续增长的过程,然而资源的有限性限制了经济系统的最终规模,目前一般认为经济系统的发展轨迹应当是逐步趋于稳定状态。因此研究经济系统的是否能够达到稳定状态以及相应的控制算法对于经济学的研究具有重要的意义。本文对投入产出经济学中的离散广义动态投入产出模型进行模拟与控制,以使经济系统的各个部门能够协调发展,并趋于一个稳定的发展状态。通过使用新的数学方法,广义投入产出模型不需要转化成一般的线性模型可以直接研究其稳定性,从而减少了研究的复杂性。本文首先研究动态投入产出模型能够趋于稳定状态的条件,并基于此设计相应的控制算法,最后利用计算机编写相应的模拟与控制程序。

Abstract:
This paper deals with the problems of stability and computer control for the economic discrete-time singular dynamic input-output model. The singular dynamic input-output system is directly treated with without converted to general system. A sufficient stability condition under which the model is admissible is proved. Base on this, a state feedback stability criterion is established. Finally, the corresponding method of computer simulation and control is pro-vided.

文章引用: 江 磊 , 方建安 (2013) 广义Leontief投入产出模型的计算机控制算法。 人工智能与机器人研究, 2, 64-66. doi: 10.12677/AIRR.2013.21011

参考文献

[1] [1] O. Lang. Introduction to economic cybernetics. Oxford: Perga- man Press, 1970: 89-92.

[2] Z. S. Zhu, C. Y. Dang and Y. Y. Ye. A FPTAS for computing a symmetric Leontief competitive economy equilibrium. Mathe- matical Programming, 2012, 131(1-2): 113-129.

[3] S. Paul, V. W. Alain and K. Achim. A simple robust control for simulated moving bed chroma-tographic separation advanced control of chemical processes. Proceedings of the 8th IFAC In- ternational Symposium on Ad-vanced Control of Chemical Proc- esses, 2012: 137-142.

[4] L. Dai. Singular control systems. Berlin: Springer-Verlagh, 1989: 135-138.

[5] S. Xu, J. Lam. Robust stability and stabilization of discrete sin- gular systems: An equivalent characterization. Asian Journal of Control, 2003, 5: 399-405.

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