A new method for studying the problem of optimal dynamic measurement in the presence of observation interference

Shestakov, 2014, The theory of optimal measurements, J. Comp. Eng. Math., 1, 3 Shestakov, 2015, Optimal measurements Shestakov, 2020, The optimal measurements theory as a new paradigm in the metrology, J. Comp. Eng. Math., 7, 3, 10.14529/jcem200101 Granovskii, 1984 Belov, 2018 Forbes, 2015, Reference model and algorithms for multi-station coordinate metrology Pavese, 2015, “The probability in throwing dices and in measurement Ruhm, 2016, Dynamics and stability - a proposal for related terms in metrology from a mathematical point of view, Meas. J. Int. Meas. Confed., 79, 276, 10.1016/j.measurement.2015.07.026 Semenov, 2015, Automatic propagation of measurement uncertainties through metrological software Krivov, 2015, Application of the Kalman filtering for the estimation of calibration uncertainty Shestakov, 2010, New approach to measurement of dynamically perturbed signals, Bull. South. Ural State Univ. Ser. Math. Model Program Comput. Softw., 192, 116 Shestakov, 2011, Optimal measurement of dynamically distorted signals, Bull. South. Ural State Univ. Ser. Math. Model Program Comput. Softw., 234, 70 Shestakov, 2012, Numerical solution of the optimal measurement problem, Autom. Rem. Contr., 73, 107 Khudyakov, 2017, On adequacy of the mathematical model of the optimal dynamic measurement, J. Comp. Eng. Math., 4, 14, 10.14529/jcem170202 Sagadeeva, 2016, On nonstationary optimal measurement problem for the measuring transducer model Shestakov, 2015, Dynamical measurements in the view of the group operators theory, 113, 273, 10.1007/978-3-319-12145-1_17 Sagadeeva, 2016, Mathematical bases of optimal measurements theory in nonstationary case, J. Comp. Eng. Math., 3, 19, 10.14529/jcem160303 Shestakov, 2012, On the measurement of the "white noise", Bull. South. Ural State Univ. Ser. Math. Model. Program Comput Softw., 13, 99 Shestakov, 2014, Stochastic Leontieff-type equations with multiplicative effect in spaces of complex-valued noises, Bull. South. Ural State Univ. Ser. Math. Model Program Comput. Softw., 7, 132 Gliklikh, 2011 Sviridyuk, 2014, The dynamical models of Sobolev type with Showalter-Sidorov condition and additive "noise", Bull. South. Ural State Univ. Ser. Math. Model Program Comput. Softw., 7, 90 Favini, 2015, Linear Sobolev type equations with relatively sectorial operators in space of noises, Abstr. Appl. Anal., 10.1155/2015/697410 Favini, 2016, One class of Sobolev type equation of higher order with additive "white noise", Commun. Pure Appl. Anal., 15, 185 Favini, 2016, Linear Sobolev type equations with relatively-radial operators in space of "noises", Mediterr. J. Math., 13, 4607, 10.1007/s00009-016-0765-x Favini, 2018, Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of "noises", Electron. J. Differ. Equ., 2018 Sagadeeva, 2018, On mathematical model of optimal dynamical measurement in presence of multiplicative and additive effects Shestakov, 2018, Optimal dynamic measurements in presence of the random interference, J. Phys. Conf., 1065 Sagadeeva, 2019, Reconstruction of observation from distorted data for the optimal dynamic measurement problem, Bull. South. Ural State Univ. Ser. Math. Model Program Comput. Softw., 12, 82 Sagadeeva, 2020, The Pyt’ev–Chulichkov method for constructing a measurement in the Shestakov–Sviridyuk model, Bull. South. Ural State Univ. Ser. Math. Model Program Comput. Softw., 13, 81 Shestakov, 2018, Numerical investigation of optimal dynamic measurements, Acta IMEKO, 7, 65, 10.21014/acta_imeko.v7i2.529 Shestakov, 2021, Numerical optimal measurement algorithm under distortions caused by inertia, resonances, and sensor degradation, Autom. Rem. Contr., 82, 41, 10.1134/S0005117921010021