Dynamics and Control of a System Composed of a Large Number of Similar Subsystems

  • Masanao Aoki
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG)


There are dynamic systems that are composed of many interacting subsystems and are too large or too complicated in some senses to lend themselves conveniently to the various analytical or computational procedures for control and/or estimation that we find in control and system theory literature, since these techniques require, on the whole, that states and control actions by each and every decision maker of subsystems be known to each other or to some coordinating agents.


System Compose Pretax Income Aggregate Signal Representative Firm Marginal Cost Curve 
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  1. 1.
    Aoxt, M., On fluctuations in microscopic states of a large system, Directions in Large-Scale Systems. Edited by Y. C. Ho and S. K. Mitter, Plenum Press, New York, 1976.Google Scholar
  2. 2.
    Liggett, T. H., The Stochastic Evolution of Infinite Systems of Interacting Particles, No. 598, Lecture Notes in Mathematics, Springer-Verlag, New York, 1977.Google Scholar
  3. 3.
    Aoxi, M., and Lt, M. T., Partial reconstruction of state vectors in decentralized dynamic systems, IEEE Transactions Automatic Control, Vol. AC-18, pp. 289–292, 1973.CrossRefGoogle Scholar
  4. 4.
    Stiglutz, J. E., Distribution of income and wealth among individuals, Econometrica, Vol. 37, pp. 382–397, 1969.CrossRefGoogle Scholar
  5. 5.
    Pryor, F. L., Simulation of the impact of social and economic institutes on the size distribution of income and wealth, American Economic Review, Vol. 63, pp. 50–72, 1973.Google Scholar
  6. 6.
    Conltsx, J., An exploratory model of the size distribution of income, Economic Inquiry, Vol. 15, pp. 345–366, 1977.CrossRefGoogle Scholar
  7. 7.
    Fuxao, T., Sisutem No Su-uri (Mathematics of Systems), Chikuma Shobo, Tokyo, 1975.Google Scholar
  8. 8.
    Aoxt, M., Optimal Control and System Theory in Dynamic Economic Analysis, North-Holland, New York, 1976.Google Scholar
  9. 9.
    Aoxt, M., Large decentralized decision problems with imperfect information, A link-Between Science and Applications of Automatic Control, Edited by A. Niemi, Pergamon Press, Oxford/New York, pp. 829–832, 1979.Google Scholar

Supplementary References

  1. Aokt, M., Local controllability of a decentralized economic system, Reviews of Economic Studies, Vol. 41, pp. 51–63, 1974.CrossRefGoogle Scholar
  2. Aoki, M., Interaction among economic agents under imperfect information: An example, New Trends in Dynamic System Theory and Economics. Edited by A. Vlanzollo and M. Avler, Academic Press, New York, 1978.Google Scholar
  3. Blinder, A. S., Toward an Economic Theory of Income Distribution, MIT Press, Cambridge, Mass., 1974.Google Scholar
  4. Lucas, R. E., An equilibrium model of the business cycle, Journal of Political Economy, Vol. 83, pp. 1113–1144, 1975.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Masanao Aoki
    • 1
  1. 1.Department of System ScienceUniversity of CaliforniaLos AngelesUSA

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