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Some Remarks on the Concept of State

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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. Mullans, R.E. and Elliott, D.L., Linear Systems on Partially Ordered Time Sets, Proc. 1973 Conf. on Decision and Control, IEEE 1973.

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  2. Nerode, A., Linear Automaton Transformations, Proc. Am. Math. Soc., Vol. 9, pp. 541–544, 1958.

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  3. Witsenhausen, H.S., On Information Structures, Feedback and Causality; SIAM J. on Control, Vol. 9, pp. 149–160, 1971.

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  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.

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© 1976 Plenum Press, New York

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Witsenhausen, H.S. (1976). Some Remarks on the Concept of State. In: Ho, Y.C., Mitter, S.K. (eds) Directions in Large-Scale Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2259-7_6

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  • DOI: https://doi.org/10.1007/978-1-4684-2259-7_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2261-0

  • Online ISBN: 978-1-4684-2259-7

  • eBook Packages: Springer Book Archive

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