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Spectral idempotent analysis and estimates of the Bellman function

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System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 197))

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References

  1. V.P. Maslov and S.N. Samborski (Ed.), Idempotent Analysis, Advances in Soviet Mathematics, Vol. 13, AMS, 1992.

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  2. V.N. Kolokoltsov, On Linear, Additive and Homogeneous Operators in Idempotent Analysis, in [1], p. 87–101.

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  3. I.V. Romanovskii, Optimization of stationary control of discrete deterministic processes in dynamic programming, Kibernetika (Kiev) 2, 1967, p. 66–78 (English translation in Cybernetics, 3, 1967).

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  4. P.I. Dudnikov and S.N. Samborskii, Endormorphisms of semimodules over semirings with an idempotent operation, Preprint No 87–48, Inst. Mat. Akad. Nauk Ukrain., Kiev, 1987 (Russian).

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  5. I.V. Romanovskii, Asymptotic behavior of a discrete deterministic process with continuous state space. Optimal Planirovaniye, 8. “Nauka”, Novosibirsk, 1967, p. 171–193 (Russian).

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  6. V.P. Maslov, On a new superposition principle for optimization problems, Russian Math. Surveyes, 42, 1987.

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  7. S.N. Samborskii and A. Tarashchan, On semirings arising in multicriteria optimization problems and problems of analysis of Computational media. Soviet Math. Doklady, 40, No 2, 1990.

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Authors and Affiliations

  1. Université de Caen, Mathématiques, 14032, Caen Cedex, FRANCE

    Sergei N. Samborski

Authors
  1. Sergei N. Samborski
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Jacques Henry Jean-Pierre Yvon

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© 1994 Springer-Verlag

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Samborski, S.N. (1994). Spectral idempotent analysis and estimates of the Bellman function. In: Henry, J., Yvon, JP. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035493

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  • DOI: https://doi.org/10.1007/BFb0035493

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19893-2

  • Online ISBN: 978-3-540-39337-5

  • eBook Packages: Springer Book Archive

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