### METHODS OF AUTOMATIC AND OPTIMAL CONTROL IN DYNAMIC MEASUREMENTS

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Asfandiyarova Yu.S., Zalyapin V.I., Kharitonova Ye.V. [The Method of the Integral Equations to Construct the Green's Function]. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2012, vol. 27(286), pp.16--23. (in Russian)

Belov А.А., Kurdyukov A.P. [textit{Descriptor systems and control problems}]. Moscow, Fizmatlit, 2015. 272 p. (in Russian)

Bizyaev M.N., Shestakov A.L. [Restoration of Dynamically Distorted Signals of Testing and Measuring Systems Using the Sliding Modes Method]. Proceedings of the Russian Academy of Sciences. Power Engineering, 2004, no. 6. P. 119. (in Russian)

Bychkov E.V., Zagrebina S.A., Zamyshlyaeva A.A., Keller A.V., Manakova N.A., Sagadeeva M.A., Sviridyuk G.A. [Development of the Theory of Optimal Dynamic Measurements]. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2022, vol. 15, no. 3, pp. 19--33. DOI: 10.14529/mmp220302

Demin D.S., Chulichkov A.I. [Filtering of Monotonic Convex Noise-distorted Signals and Estimates of Positions of Special Points]. Fundamentalnaya i prikladnaya matematika (Fundamental and Applied Mathematics), 2009, vol. 15, no. 6, pp. 15--31. (in Russian)

Einstein A., Smoluchowski M. [Brownian motion. Digest of articles]. Moscow, ONTI, 1936. (in Russian)

Favini, A., Sviridyuk G.A., Manakova N.A. Linear Sobolev Type Equations with Relatively p-Sectorial Operators in Space of "Noises" . Abstract and Applied Analysis, 2016, vol. 13, pp. 1--8. DOI: 10.1155/2015/697410

Favini, A., Sviridyuk G.A., Sagadeeva M.A. Linear Sobolev Type Equations with Relatively p-Radial Operators in Space of "Noises". Mediterranean Journal of Mathematics, 2016, vol. 13, no.6, pp. 4607--4621. DOI: 10.1007/s00009-016-0765-x

Iosifov D.Yu., Shestakov A.L. [Optimal Setting of Parameters of a Correction Device of a Dynamic Measuring System with a Measured Vector of Sensor State Parameters]. Dynamics of systems, mechanisms and machines, 2004, no. 1. pp. 278--281. (in Russian)

Gliklikh Yu.E., Makarova A.V. On Existence of Solutions to Stochastic Differential Inclusions with Current Velocities II. Journal of Computational and Engineering Mathematics, 2016, vol. 3, no. 1, pp. 48--60. DOI: 10.14529/jcem160106

Granovsky V.A. [Dynamic measurements: theory and metrological assurance at yesterday and tomorrow]. Datchiki and Systemi (Sensors and Systems), 2016, vol. 3, no. 201, pp. 57--72. (in Russian)

Keller A.V. On the Computational Efficiency of the Algorithm of the Numerical Solution of Optimal Control Problems for Models of Leontieff Type. Journal of Computational and Engineering Mathematics, 2015, vol. 2, no. 2, pp. 39--59. DOI: 10.14529/jcem150205

Keller A.V. Optimal Dynamic Measurement Method Using the Savitsky--Golay Digital Filter. Differential Equations and Control Processes, 2021, no. 1, pp. 1--15.

Keller A.V., Sagadeeva M.A. Convergence of the Spline Method for Solving the Optimal Dynamic Measurement Problem. Journal of Physics: Conference Series, 2021, Article ID: 012074. DOI: 10.1088/1742-6596/1864/1/012074

Keller A.V., Shestakov A.L., Sviridyuk G.A., Khudyakov Yu.V. The Numerical Algorithms for the Measurement of the Deterministic and Stochastic Signals. Springer Proceedings in Mathematics and Statistics, 2015, vol. 113, pp. 183--195. DOI: 10.1007/978-3-319-12145-1_11

Keller A.V., Sagadeeva M.A. [The Optimal Measurement Problem for the Measurement Transducer Model with A Deterministic Multiplcative Effect and Inertia]. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2014, vol. 7, no. 1, pp. 134--138. DOI: 10.14529/mmp140111

Khudyakov Yu.V. On Mathematical Modeling od the Measurement Transducers. Journal of Computational and Engineering Mathematics, 2016, vol. 3, no. 3, pp. 68--73. DOI: 10.14529/jcem160308

Nelson E. Dynamical theory of Brownian motion Princeton. Princeton, Princeton University Press, 1967.

Pyt'ev Yu.P., Chulichkov A.I. [Methods for morphological image analysis]. Мoscow, Fizmatlit, 2010. (in Russian)

Sagadeeva M.A. [Construction an Observation in the Shestakov--Sviridyuk Model in Terms of Multidimensional "White Noise" Distortion]. Bulletin of the South Ural State University. Series: Mathematics. Mechanics. Physics, 2020, vol.12, no.4, pp.41--50. DOI: 10.14529/mmph200405

Sagadeeva M.A., Bychkov E.V., Tsyplenkova O.N. The Pyt'ev--Chulichkov Method for Constructing a Measurement in the Shestakov--Sviridyuk Model. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2020, vol. 13, no. 4, pp. 81--93. DOI: 10.14529/mmp200407

Savitzky A., Golay M.J.E. Smoothing and Differentiation of Data by Simplified Least Squares Procedures. Analytical Chemistry, 1964, vol. 36, no. 8, pp. 1627--1639. DOI: 10.1021/ac60214a047

Shestakov A.L. [Methods of the Theory of Automatic Control in Dynamic Measurements]. Chelyabinsk, SUSU Publishing Center, 2013. 257 p. (in Russian)

Shestakov A.L. [Dynamic Accuracy of a Measuring Transducer with a Correction Device in the Form of a Sensor Model]. Metrology, 1987, no. 2, pp. 26--34.

Shestakov A.L. [Measuring Converter of Dynamic Parameters with Iterative signal Restoration Principle]. Pribory i sistemy upravleniya, 1992, no.10, p.23. (in Russian)

Shestakov A.L., Iosifov D.Yu. [Solution of the Inverse Problem of Dynamics Based on the Theory of Model Control Using the Measured Vector of State Parameters of the Primary Measuring Tranducer]. Proceedings of the Chelyabinsk Scientific Center of the Ural Branch of the Russian Academy of Sciences, 2005, no.4. pp.145--150. (in Russian)

Shestakov A.L., Sviridyuk G.A. [A New Approach to Measurement Dynamically Perturbed Signals]. Bulletin of the South Ural State University. Series: Mathematical Modeling, Programming and Computer Software, 2010, no. 16 (192), pp. 116--120. (in Russian)

Shestakov A.L., Sviridyuk G.A. Optimal Measurement of Dynamically Distorted Signals. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2011, no.

(234), pp. 70--75.

Shestakov A.L., Keller A.V., Nazarova E.I. Numerical Solution of the Optimal Measurement Problem. Automation and Remote Control, 2012, vol. 73, no. 1, pp. 97--104.

Shestakov A.L., Sviridyuk G.A. [On the Measurement of the "White Noise"]. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2012, no. 27(286), pp. 99--108. (in Russian)

Shestakov A.L., Sviridyuk G.A., Khudyakov Yu.V. [Dynamical Measurements in Spaces of "Noise"]. Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2013, vol. 13, no. 2, pp. 4--11. (in Russian)

Shestakov A.L., Sviridyuk G.A., Khudyakov Yu.V. Dynamical Measurements in the View of the Group Operators Theory. Springer Proceedings in Mathematics and Statistics, 2015, vol. 113, pp. 273--286. DOI: 10.1007/978-3-319-12145-1_17

Shestakov A.L., Sviridyuk G.A., Keller A.V., Zamyshlyaeva A.A., Khudyakov Yu.V. Numerical Investigation of Optimal Dynamic Measurements. Acta IMEKO, 2018, vol. 7, no. 2, pp. 65--72. DOI: 10.21014/acta_imeko.v7i2.529

Shestakov A.L., Sagadeeva M.A., Manakova N.A., Keller A.V., Zagrebina S.A., Zamyshlyaeva A.A., Sviridyuk G.A. Optimal Dynamic Measurements in Presence of the Random Interference. Journal of Physics: Conference Series, 2018, vol. 1065, no. 21, Article ID: 212012.

Shestakov A.L. Dynamic Measuring Methods: a Review. Acta IMEKO, 2019, vol. 8, no. 1, pp. 64--76. DOI: 10.21014/acta_imeko.v8i1.568

Shestakov A.L., Keller A.V., Zamyshlyaeva A.A., Manakova N.A., Zagrebina S.A., Sviridyuk G.A. The Optimal Measurements Theory as a New Paradigm in the Metrology. Journal of Computational and Engineering Mathematics, 2020, vol. 7, no. 1, pp. 3--23. DOI: 10.14529/jcem200101

Shestakov A.L., Zagrebina S.A., Manakova N.A., Sagadeeva M.A., Sviridyuk G.A. Numerical Optimal Measurement Algorithm Under Distortions Caused by Inertia, Resonances and Sensor Degradation. Automation and Remote Control, 2021, vol. 82, no. 1, pp. 41--50. DOI: 10.31857/S0005231021010025

Shestakov A.L., Zamyshlyaeva A.A., Manakova N.A., Keller A.V., Sviridyuk G.A. Reconstruction of a Dynamically Distorted Signal Based on the Theory of Optimal Dynamic Measurements. Automation and Remote Control, 2021, vol. 82, no. 12, pp. 2143--2154. DOI: 10.31857/S0005231021120084

Shestakov A.L., Keller A.V. [One--Dimensional Kalman Filter in Algorithms for Numerical Solution of the Problem of Optimal Dynamic Measurement]. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2021, vol. 14, no. 4, pp. 120--125. (in Russian) DOI: 10.14529/mmp210411

Shestakov A.L., Keller A.V. Optimal Dynamic Measurement Method Using Digital Moving Average Filter. Journal of Physics: Conference Series, 2021, vol. 1864, Article ID: 012073. DOI: 10.1088/1742-6596/1864/1/012073

Shestakov A.L., Keller A.V., Zamyshlyaeva A.A., Manakova N.A., Tsyplenkova O.N., Gavrilova O.V., Perevozchikova K.V. Restoration Of Dynamically Distorted Signal Using the Theory of Optimal Dynamic Measurements and Digital Filtering. Measurement: Sensors, 2021, vol. 18, Article ID: 100178. DOI: 10.1016/j.measen.2021.100178

Shestakov A.L., Zagrebina S.A., Sagadeeva M.A., Bychkov E.V., Solovyova N.N., Goncharov N.S., Sviridyuk G.A. A New Method for Studying the Problem of Optimal Dynamic Measurement in the Presence of Observation Interference. Measurement: Sensors, 2021, vol. 18, Article ID: 100266.

Sviridyuk G.A., Keller A.V. [On the Numerical Solution Convergence of Optimal Control Problems for Leontief Type System]. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, no.2(23), pp.24--33. (in Russian)

Tikhonov A.N., Arsenin V.Ya. [Methods for solving ill-posed problems]. Moscow, Nauka, 1974. 222~p. (in Russian)

Volosnikov A.S., Shestakov A.L. [Neural Network Dynamic Modrl of a Measuring System with Filtering of the Recovered Signal]. Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2006, no.14(69), pp.16--20. (in Russian)

bibitem{VolShest2}

Volosnikov A.S., Shestakov A.L. Neural Network Approach to Reduce Dynamic Measurement Errors. Acta IMEKO, 2016, vol. 5. no. 3, pp. 4--31. DOI: 10.21014/acta_imeko.v5i3.294

Yaparov D.D., Shestakov A.L. [Numerical Method for Processing the Results of Dynamic Measurements].t Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2021, vol.21, no.4, pp.115--125. DOI: 10.14529/ctcr210410

Zalyapin V.I., Kharitonova H.V., Ermakov S.V. Inverse Problems of the Measurements Theory. Inverse Problems. Design and Optimization Symposium, Miami, 2007, pp. 91–96.

Zamyshlyaeva A.A., Keller A.V., Syropiatov M.B. Stochastic Model of Optimal Dynamic Measurements. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2018, vol.11, no.2, pp.147--153. DOI: 10.14529/mmp180212

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