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Solutions of linear uncertain fractional order neutral differential equations

Applied Mathematics and Computation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Jian   +3 more
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Solutions of linear uncertain fractional-order delay differential equations

Soft Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian Wang, Yuanguo Zhu
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ANN Based Solution of Uncertain Linear Systems of Equations

Neural Processing Letters, 2020
Linear systems of equations have many applications in the area of engineering sciences, mathematics, operations research and statistics. It is worth mentioning that the coefficient matrix of the linear systems of equations may not be always crisp due to various uncertainties. These uncertainties may be in the form of interval.
S. K. Jeswal, S. Chakraverty
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Confidence ellipsoids for uncertain linear equations with structure

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003
In this paper we show how to compute, via semidefinite programming, ellipsoids of confidence for linear equations with structured (unknown-but-bounded) perturbations. Our results are exact in the "unstructured" perturbations case, enabling us to recover in particular the classical case when the perturbation is additive.
EL GHAOUI L, CALAFIORE, Giuseppe Carlo
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Uncertain Linear Systems of Equations: Strong Solvability and Strong Feasibility

Cybernetics and Systems Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iemets, O. O., Yemets', O. O.
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Solution of uncertain linear systems of equations with probability-box parameters

International Journal of Reliability and Safety, 2018
The solution of linear systems of equations is often a component of engineering simulation and modelling. Often, the system parameters are uncertain. One representation of this uncertainty is the use of probability-boxes (or p-boxes), which do not require complete information about the probability distribution underlying the random variables.
Naijia Xiao   +2 more
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On Source-Term Parameter Estimation for Linear Advection-Diffusion Equations with Uncertain Coefficients

SIAM Journal on Scientific Computing, 2016
Summary: In this paper, we propose an algorithm for estimating parameters of a source term of a linear advection-diffusion equation with an uncertain advection-velocity field. First, we apply a minimax state estimation technique in order to reduce uncertainty introduced by the coefficients.
Zhuk, Sergiy   +4 more
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Applicability of linearized Boussinesq equation for modeling bank storage under uncertain aquifer parameters

Journal of Hydrology, 1994
Abstract Boussinesq's equation is frequently employed to study the influence of flood-stage hydrographs in streams on bank storage effects. This equation is nonlinear and no analytical solutions are available for arbitrarily shaped stage hydrographs.
Rao S. Govindaraju, James.K. Koelliker
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Adaptive stabilization based on passive and swapping identifiers for a class of uncertain linearized Ginzburg–Landau equations

ESAIM: Control, Optimisation and Calculus of Variations, 2020
This paper is devoted to the stabilization for a class of uncertain linearized Ginzburg–Landau equations (GLEs). The distinguishing feature of such system is the presence of serious uncertainties which enlarge the scope of the systems whereas challenge the control problem.
Jian Li, Yungang Liu
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Minimax Guaranteed Cost Control for Linear Systems with Large Uncertain Parameters - Riccati Equation Approach

IFAC Proceedings Volumes, 1993
Abstract Given a linear system with large but bounded time-varying uncertainty and a quadratic cost criterion, the Minimax Guaranteed Cost Control (MGCC) robust design method proposed in this paper results in a simple linear feedback control law to guarantee both the asymptotic stability of the closed-loop system and the minimized maximal performance
J.S. Luo   +2 more
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