Extension of Von Neumann Model of National Economic System

Author:

Li Yong Heng1,Li Xia1

Affiliation:

1. Real Estate Management Bureau

Abstract

The Von Neumann Model on national economical system is investigated. A new discrete-time input-output model on national economic system based on the classic Von Neumann Model is provided and the stability of this kind of model is researched. This new system belongs to the singular system. By the new mathematic method, this singular linear system will not be converted into the general linear system. Finally, a sufficient stability condition under which the discrete-time singular Extended Von Neumann Model is admissible is proved.

Publisher

Trans Tech Publications, Ltd.

Reference7 articles.

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2. B. Tang, C. Cheng and M. Zhong, the Theory and Method of Robust Economic Cybernetics. China Textile University Press, Shanghai, (2000).

3. M. Zhong, B. Tang and X. Huang, Analysis of provincial macro-economic model and its robust h-infinite control strategies, Journal of Donghua University, Vol. 28, No. 2, Apr. (2002).

4. L. Dai, Singular Control Systems. Springer-Verlagh, Berlin, German, (1989).

5. S. Xu and J. Lam, Robust stability for uncertain discrete singular systems with state delay, Asian J. Control, Vol. 5, 399–405, (2003).

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