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Some Remarks on the Concept of State

  • H. S. Witsenhausen

Abstract

Consider a system which is subject to a succession of T inputs u1,u2,…,uT where ut belongs to a given set Ut, for each t. Outputs yt in given sets Yt are generated for t = 1,…,T. The input-output description of the system is given by functions St as follows.

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References

  1. 1.
    Mullans, R.E. and Elliott, D.L., Linear Systems on Partially Ordered Time Sets, Proc. 1973 Conf. on Decision and Control, IEEE 1973.Google Scholar
  2. 2.
    Nerode, A., Linear Automaton Transformations, Proc. Am. Math. Soc., Vol. 9, pp. 541–544, 1958.CrossRefGoogle Scholar
  3. 3.
    Witsenhausen, H.S., On Information Structures, Feedback and Causality; SIAM J. on Control, Vol. 9, pp. 149–160, 1971.CrossRefGoogle Scholar
  4. 4.
    Witsenhausen, H.S., The Intrinsic Model for Discrete Stochastic Control: Some Open Problems; Lecture Notes in Economics and Mathem. Systems, Vol. 107, pp. 322–335, Springer-Verlag, 1975.Google Scholar

Copyright information

© Plenum Press, New York 1976

Authors and Affiliations

  • H. S. Witsenhausen
    • 1
    • 2
  1. 1.Harvard UniversityCambridgeUSA
  2. 2.Bell LaboratoriesMurray HillUSA

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