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Quasi-Differentiable Functions in the Optimal Construction of Electrical Circuits

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Nondifferentiable Optimization: Motivations and Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 255))

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Abstract

When considering the optimization problems which arise in the design of technical devices, it is clear that a central role is played by minimax problems, i.e., the problem of finding

$$ \begin{array}{*{20}{c}} {\min \;\phi (X)}\\ {X \in \Omega } \end{array} $$
(1)

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References

  1. Remes, E.Y. “The Principles of Chebyshev Approximation Numerical Methods”. (In Russian), Kiev, Naukova dumka, 1969).

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  2. Demyanov, V.F., and B.N. Malozemov, “Introduction to Minimax”. ( Wiley, New York, 1974 ).

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  3. Voiton, E.F. “A Minimax Method of Electrical Circuits Optimization by Absence of Constraints on Variable Parameters”. (In Russian), Izvestia VUZOV, radioelektronika, 15 (2), (1972).

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  4. Voiton, E.F. “A Minimax Method of Electrical Circuits Optimization under the Limitation on Variable Parameters”. (In Russian), Izvestia VUZOV, radioelektronika, 18 (8), (1975).

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  5. Demyanov, V.F., and L.V. Vasiliev. “Nondifferentiable Optimization”. (In Russian), Nauka, Moscow, 1981).

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  6. Voiton, E.F. “On Methods for Solving some Extremum Prob- lems of Electrical Circuits Synthesis”. (In Russian), Issleaovanie operatziy, Vol. 5, (Computing Centre of the USSR Academy of Sciences, Moscow, 1976).

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  7. Demyanov, V.F., (ed.), “Nonsmooth Problems of Control Theory and Optimization”. (In Russian), (Leningrad Univ. Press, Leningraa, 1982). (see Ch. 1 by Demyanov V.F. and Rubinov A.M.).

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© 1985 Springer-Verlag Berlin Heidelberg

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Voiton, E.F. (1985). Quasi-Differentiable Functions in the Optimal Construction of Electrical Circuits. In: Demyanov, V.F., Pallaschke, D. (eds) Nondifferentiable Optimization: Motivations and Applications. Lecture Notes in Economics and Mathematical Systems, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12603-5_32

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  • DOI: https://doi.org/10.1007/978-3-662-12603-5_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15979-7

  • Online ISBN: 978-3-662-12603-5

  • eBook Packages: Springer Book Archive

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