Vestnik YuUrGU. Ser. Mat. Model. Progr., 2014, Volume 7, Issue 1, Pages 134–138
This article is cited in 7 scientific papers (total in 8 papers)
The Optimal Measurement Problem for the Measurement Transducer Model with a Deterministic Multiplicative Effect and Inertia
A. V. Keller, M. A. Sagadeeva
South Ural State University, Chelyabinsk, Russian Federation
The results of the theory of Sobolev-type equations are extensively used to measure of dynamically distorted signals recently. In this paper the authors consider the optimal measurement for the system where the well-known multiplicative effect was produced which in its turn has the form of a scalar function of the variable $t$. The authors develop the exact and approximate solutions of the optimal measurement problem for the specified system.
The paper consists of two parts. The statement of the problem is formulated in the first part as an optimal measurement for the system with a deterministic multiplicative effect, and the second part presents the formulas of exact and approximate solutions of the problem.
optimal measurement; Leontiev type system; Shestakov–Sviridyuk model.
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MSC: 47D06, 49J15, 93A30
A. V. Keller, M. A. Sagadeeva, “The Optimal Measurement Problem for the Measurement Transducer Model with a Deterministic Multiplicative Effect and Inertia”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:1 (2014), 134–138
Citation in format AMSBIB
\by A.~V.~Keller, M.~A.~Sagadeeva
\paper The Optimal Measurement Problem for the Measurement Transducer Model with a Deterministic Multiplicative Effect and Inertia
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
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N. A. Manakova, “On modified method of multistep coordinate descent for optimal control problem for semilinear Sobolev-type model”, J. Comp. Eng. Math., 3:4 (2016), 59–72
Yu. V. Khudyakov, “On adequacy of the mathematical model of the optimal dynamic measurement”, J. Comp. Eng. Math., 4:2 (2017), 14–25
N. A. Manakova, K. V. Vasiuchkova, “Numerical investigation for the start control and final observation problem in model of an I-beam deformation”, J. Comp. Eng. Math., 4:2 (2017), 26–40
A. V. Keller, E. I. Nazarova, M. A. Sagadeeva, G. A. Sviridyuk, V. I. Zalyapin, “Shestakov Alexander Leonidovich (to the 65th anniversary)”, J. Comp. Eng. Math., 4:3 (2017), 55–67
A. A. Zamyshlyaeva, E. V. Bychkov, “The Cauchy problem for the Sobolev type equation of higher order”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:1 (2018), 5–14
M. A. Sagadeeva, A. V. Generalov, “Numerical solution for non-stationary linearized Hoff equation defined on geometrical graph”, J. Comp. Eng. Math., 5:3 (2018), 61–74
G. A. Sviridyuk, A. A. Zamyshlyaeva, S. A. Zagrebina, “Multipoint initial-final problem for one class of Sobolev type models of higher order with additive “white noise””, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:3 (2018), 103–117
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