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On Linear Inequalities

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 ...
Lloyd L. Dines, N. H. McCoy
openaire   +3 more sources

A linear matrix inequality approach to H∞ control

, 1994
The continuous- and discrete-time H∞ control problems are solved via elementary manipulations on linear matrix inequalities (LMI). Two interesting new features emerge through this approach: solvability conditions valid for both regular and singular ...
P. Gahinet, P. Apkarian
semanticscholar   +1 more source

Zeroing Neural Network for Solving Time-Varying Linear Equation and Inequality Systems

IEEE Transactions on Neural Networks and Learning Systems, 2019
A 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
semanticscholar   +1 more source

Inertia Tensor Properties in Robot Dynamics Identification: A Linear Matrix Inequality Approach

IEEE/ASME transactions on mechatronics, 2019
Physical 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
semanticscholar   +1 more source

Linear- and Linear-Matrix-Inequality-Constrained State Estimation for Nonlinear Systems

IEEE Transactions on Aerospace and Electronic Systems, 2019
This 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
semanticscholar   +1 more source

Solution of Linear Inequalities

IEEE Transactions on Computers, 1970
A 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.
openaire   +3 more sources

Linear Differential Inequalities

SIAM Journal on Mathematical Analysis, 1978
A 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
openaire   +3 more sources

Economic Freedom and Income Inequality: Evidence from a Panel of Global Economies — A Linear and a Non‐Linear Long‐Run Analysis

, 2017
This study employs panel data from 138 countries (with unbalanced time frameworks) to investigate the relationship between economic freedom and income inequality.
N. Apergis, A. Cooray
semanticscholar   +1 more source

Linear Matrix Inequality-Based Nonlinear Adaptive Robust Control of Quadrotor

, 2016
In this paper, we propose a novel linear matrix inequality-based nonlinear adaptive robust control algorithm to design the attitude and position controllers for an X-configuration quadrotor helicopter.
David Kun, Inseok Hwang
semanticscholar   +1 more source

Global Maximization of a Convex Function with Linear Inequality Constraints

Operational Research, 1974
This paper presents an algorithm for the global maximization of a convex function subject to linear inequality constraints. It is computationally finite and is designed to converge rapidly on problems in which there are few local optima or the global ...
P. B. Zwart
semanticscholar   +1 more source

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