Stable Computer Control Algorithm of Von Neumann Model

Article Preview

Abstract:

The problem of computer control algorithm for the singular Von Neumann input-output model is researched. A kind of new mathematic method is applied to study the singular systems without converting them into general systems. A kind of stability condition under which the singular input-output model is admissible is proved with the form of linear matrix inequality. Based on this, a new state feedback stability criterion is established. Then the formula of a desired state feedback controller is derived.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 634-638)

Pages:

4026-4029

Citation:

Online since:

January 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] O.Lang, Introduction to economic cybernetics. Oxford, Pergaman Press, 1970.

Google Scholar

[2] M. Zhong, B.Tang and X. Huang, "Analysis of provincial macro-economic model and its robust h-infinite control strategies," Journal of Dong Hua University, vol. 28, No2, Apr. 2002.

Google Scholar

[3] L. Dai, Singular Control Systems. Berlin, German :Springer-Verlagh,1989.

Google Scholar

[4] S. Xu and J. Lam, "Robust stability and stabilization of discrete singular systems: an equivalent characterization," Asian J. Control, vol. 5, p.399–405, 2003.

Google Scholar

[5] C.-H. Fang and F.-R. Chang, "Analysis of stability robustness for generalized state-space systems with structured perturbations," Syst. Control Lett., vol. 21, p.109–114, 1993.

DOI: 10.1016/0167-6911(93)90113-k

Google Scholar

[6] C.-H. Fang, L. Lee, and F.-R. Chang, "Robust control analysis and design for discrete-time singular systems," Automatica, vol. 30, p.1741–1750, 1994.

DOI: 10.1016/0005-1098(94)90076-0

Google Scholar

[7] S. Xu and J. Lam, "Robust stability for uncertain discrete singular systems with state delay," Asian J. Control, vol. 5, p.399–405, 2003.

DOI: 10.1111/j.1934-6093.2003.tb00132.x

Google Scholar

[8] S. Xu, P. Van Dooren, R. Stefan, and J. Lam, "Robust stability and stabilization for singular systems with state delay and parameter uncertainty,"IEEE Trans. Automat. Control, vol. 47, p.1122–1128, July 2002.

DOI: 10.1109/tac.2002.800651

Google Scholar

[9] Z. Wu and W. Zhou, "Delay-dependent robust H infinite control for uncertain singular time-delay systems," IET Control Theory Appl., 1,(5),pp.1234-1241, 2007.

DOI: 10.1049/iet-cta:20060446

Google Scholar

[10] D.Yue and Q.Han, "Delay-Dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and markovian switching," IEEE Trans. Automat. Control, vo.50, pp.217-222, Feb. 2005.

DOI: 10.1109/tac.2004.841935

Google Scholar