The Experts below are selected from a list of 3201 Experts worldwide ranked by ideXlab platform
Feiqi Deng - One of the best experts on this subject based on the ideXlab platform.
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Varying-Parameter Convergent-Differential Neural Solution to Time-Varying Overdetermined System of Linear Equations
IEEE Transactions on Automatic Control, 2020Co-Authors: Zhijun Zhang, Lunan Zheng, Feiqi DengAbstract:To solve a time-varying Overdetermined problem, a novel varying-parameter convergent-differential neural network (VP-CDNN) is proposed, designed, and discussed. Specifically, a vector-error function is first defined. Second, according to neural dynamic design method, an implicit-dynamic equation with a time-varying parameter is derived. Mathematics analysis and theoretical proof verify that the VP-CDNN can obtain the least-squares solution with a super exponential convergence rate. In addition, it is also proved that VP-CDNN can restrain the noise efficiently. Simulations among the VP-CDNN, gradient-based recurrent neural network and zeroing neural network verify that the VP-CDNN has faster speed, higher accuracy, and stronger robustness. At last, applications to data fitting and System identification further verify the high effectiveness and efficiency of the VP-CDNN.
Randolph L Moses - One of the best experts on this subject based on the ideXlab platform.
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ICASSP - Fast recursive AR estimation from an Overdetermined System of extended Yule Walker equations
ICASSP '83. IEEE International Conference on Acoustics Speech and Signal Processing, 1Co-Authors: Randolph L MosesAbstract:This paper presents a fast recursive least squares algorithm for estimating the AR coefficients in an AR or ARMA model. The algorithm is based on solving an Overdetermined System of "t" Extended Yule Walker equations for the "p" AR coefficients. Experimental results indicate that the proposed algorithm is able to provide improved estimates over those of similar recursive algorithms, at a computational cost of an additional 2t multiplies and 2t adds.(1)
Yu E Prosviryakov - One of the best experts on this subject based on the ideXlab platform.
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A class of exact solutions for two-dimensional equations of geophysical hydrodynamics with two coriolis parameters
'Irkutsk State University', 2020Co-Authors: Burmasheva N., Yu E ProsviryakovAbstract:The article proposes a class of exact solutions of the Navier{Stokes equations for a rotating viscous incompressible uid. This class allows us to describe steady shear inhomogeneous (i.e., depending on several coordinates of the selected Cartesian System) ows. Rotation is characterized by two Coriolis parameters, which in a rotating coordinate System leads to the fact that even for shear ows the vertical velocity is nonzero. The inclusion of the second Coriolis parameter also clarifies the well-known hydrostatic condition for rotating uid ows, used in the traditional approximation of Coriolis acceleration. The class of exact solutions allows us to generalize Ekman's classical exact solution. It is known that the Ekman ow assumes a uniform velocity distribution and neglect of the second Coriolis parameter, which does not allow us to describe the equatorial counterows. In this paper, this gap in theoretical research is partially filled. It was shown that the reduction of the basic System of equations, consisting of the Navier-Stokes equations and the incompressibility equation, for this class leads to an Overdetermined System of differential equations. The solvability condition for this System is obtained. It is shown that the constructed nontrivial exact solutions in the general case belong to the class of quasipolynomials. However, taking into account the compatibility condition, which determines the solvability of the considered Overdetermined System, leads to the fact that the spatial accelerations characterizing the inhomogeneity of the distribution of the ow velocity field turn out to be constant. The article also provides exact solutions for all components of the pressure field. © 2020 Irkutsk State University. All rights reserved
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Convective layered flows of a vertically whirling viscous incompressible fluid. Velocity field investigation
'Samara State Technical University', 2019Co-Authors: Burmasheva N., Yu E ProsviryakovAbstract:This article discusses the solvability of an Overdetermined System of heat convection equations in the Boussinesq approximation. The Oberbeck-Boussinesq System of equations, supplemented by an incompressibility equation, is Overdetermined. The number of equations exceeds the number of unknown functions, since non-uniform layered flows of a viscous incompressible fluid are studied (one of the components of the velocity vector is identically zero). The solvability of the non-linear System of Oberbeck-Boussinesq equations is investigated. The solvability of the Overdetermined System of non-linear Oberbeck-Boussinesq equations in partial derivatives is studied by constructing several particular exact solutions. A new class of exact solutions for describing three-dimensional non-linear layered flows of a vertical swirling viscous incompressible fluid is presented. The vertical component of vorticity in a non-rotating fluid is generated by a non-uniform velocity field at the lower boundary of an infinite horizontal fluid layer. Convection in a viscous incompressible fluid is induced by linear heat sources. The main attention is paid to the study of the properties of the flow velocity field. The dependence of the structure of this field on the magnitude of vertical twist is investigated. It is shown that, with nonzero vertical twist, one of the components of the velocity vector allows stratification into five zones through the thickness of the layer under study (four stagnant points). The analysis of the velocity field has shown that the kinetic energy of the fluid can twice take the zero value through the layer thickness. © 2019 Samara State Technical University. All rights reserved.12281GU/2017Competing interests. We declare that we have no conflicts of interest in the authorship or publication of this contribution. Authors’ contributions and responsibilities. We are fully responsible for submitting the final manuscript in print. Each of us has approved the final version of the manuscript. Funding. This work was supported by the Foundation for Assistance to Small Innovative Enterprises in Science and Technology (the UMNIK program, agreement 12281GU/2017)
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ekman convective layer flow of a viscous incompressible fluid
Izvestiya Atmospheric and Oceanic Physics, 2018Co-Authors: A V Gorshkov, Yu E ProsviryakovAbstract:Analytical solutions for generalizing the Ekman stationary flow of a viscous incompressible fluid in an infinite layer are obtained. The solution of an Overdetermined System of the Oberbeck–Boussinesq equations is considered. It is suggested to use a class of exact solutions for this problem. It is shown that the structure of the solutions allows one to preserve the advective derivative in the heat-conductivity equation; this makes it possible to model the stratification of the temperature and pressure fields and describe the oceanic countercurrents.
Andrew F. Peterson - One of the best experts on this subject based on the ideXlab platform.
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On the use of Overdetermined Systems in the adaptive numerical solution of integral equations
IEEE Transactions on Antennas and Propagation, 2005Co-Authors: M.m. Bibby, Andrew F. PetersonAbstract:The residual error incurred when numerically solving integral equations for a number of electromagnetic radiation and scattering problems is calculated with the aid of an Overdetermined System. This error is Systematically reduced by adaptively refining the model for the surface current. Error reduction is achieved by selectively shrinking cell dimensions (h-refinement), increasing the order of the basis functions representing the current (p-refinement), or a combination of both (hp-refinement). The correlation between residual error and surface current error is investigated and found to be high. The impact of edge singularities and curvature discontinuities is discussed.
Zhijun Zhang - One of the best experts on this subject based on the ideXlab platform.
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Varying-Parameter Convergent-Differential Neural Solution to Time-Varying Overdetermined System of Linear Equations
IEEE Transactions on Automatic Control, 2020Co-Authors: Zhijun Zhang, Lunan Zheng, Feiqi DengAbstract:To solve a time-varying Overdetermined problem, a novel varying-parameter convergent-differential neural network (VP-CDNN) is proposed, designed, and discussed. Specifically, a vector-error function is first defined. Second, according to neural dynamic design method, an implicit-dynamic equation with a time-varying parameter is derived. Mathematics analysis and theoretical proof verify that the VP-CDNN can obtain the least-squares solution with a super exponential convergence rate. In addition, it is also proved that VP-CDNN can restrain the noise efficiently. Simulations among the VP-CDNN, gradient-based recurrent neural network and zeroing neural network verify that the VP-CDNN has faster speed, higher accuracy, and stronger robustness. At last, applications to data fitting and System identification further verify the high effectiveness and efficiency of the VP-CDNN.
