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2013
Linear inequalities were studied with some degree of generality at least as early as the time of Fourier (1824). However the first significant contribution to their theory was made by Minkowski in his Geometrie der Zalzlen in 1896. Since that time many papers have appeared in Europe, America, and Japan which have to do more or less directly with the ...
Dines, L. L., McCoy, N. H.
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Linear inequalities were studied with some degree of generality at least as early as the time of Fourier (1824). However the first significant contribution to their theory was made by Minkowski in his Geometrie der Zalzlen in 1896. Since that time many papers have appeared in Europe, America, and Japan which have to do more or less directly with the ...
Dines, L. L., McCoy, N. H.
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Zeroing Neural Network for Solving Time-Varying Linear Equation and Inequality Systems
IEEE Transactions on Neural Networks and Learning Systems, 2019A typical recurrent neural network called zeroing neural network (ZNN) was developed for time-varying problem-solving in a previous study. Many applications result in time-varying linear equation and inequality systems that should be solved in real time.
Feng Xu +4 more
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Inertia Tensor Properties in Robot Dynamics Identification: A Linear Matrix Inequality Approach
IEEE/ASME transactions on mechatronics, 2019Physical feasibility of robot dynamics identification is currently receiving renovated attention from the research community. Inertia tensor inequalities (namely the positive definite property) have been extensively used among other physical constraints ...
Cristóvão D. Sousa, R. Cortesão
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Linear- and Linear-Matrix-Inequality-Constrained State Estimation for Nonlinear Systems
IEEE Transactions on Aerospace and Electronic Systems, 2019This paper considers nonlinear state estimation subject to inequality constraints in the form of linear and linear-matrix inequalities. Rewriting the standard maximum likelihood objective function used to derive the Kalman filter allows the Kalman gain ...
Robin Aucoin, S. A. Chee, J. Forbes
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Solution of Linear Inequalities
IEEE Transactions on Computers, 1970A method for solving systems of linear inequalities, consistent and inconsistent, corresponding to the separable and nonseparable cases in pattern recognition is presented. Attempts are made to evaluate the speed and efficiency of the algorithm.
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Linear Differential Inequalities
SIAM Journal on Mathematical Analysis, 1978A notion of generalized zero with respect to a linear differential operator $L_n $ for a function f at a singular point of the operator was introduced by Levin and further considered by Willett. This involved a comparison of f with certain solutions of $L_n y = 0$ near the singular point. It is shown that the role of these solutions may be fulfilled by
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The Relaxation Method for Linear Inequalities
Canadian Journal of Mathematics, 1954Let A be a closed set of points in the n-dimensional euclidean space En. If p and p1 are points of En such that1.1then p1 is said to be point-wise closer than p to the set A. If p is such that there is no point p1 which is point-wise closer than p to A, then p is called a closest point to the set A.
Motzkin, T. S., Schoenberg, I. J.
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An Algorithm for the Solution of Linear Inequalities
IEEE Transactions on Computers, 1974The problem of solving a system of linear inequalities is central to pattern classification where a solution to the system, consistent or not, is required. In this paper, an algorithm is developed using the method of conjugate gradients for function minimization.
Nagaraja, G., Krishna, Gopalrao
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Positivity and Linear Matrix Inequalities
European Journal of Control, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Genin, Y. +5 more
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