On the Numerical Solution of Differential Linear Matrix Inequalities
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-020-01650-9
Abstract: This paper presents a novel approach for the numerical solution of differential linear matrix inequalities. The solutions are searched in the class of piecewise-quadratic functions with symmetric matrix coefficients to be determined. To limit the… read more here.
Keywords: numerical solution; matrix inequalities; matrix; linear matrix ... See more keywords
Spectral linear matrix inequalities
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DOI: 10.1016/j.aim.2021.107749
Abstract: We prove, under a certain representation theoretic assumption, that the set of real symmetric matrices, whose eigenvalues satisfy a linear matrix inequality, is itself a spectrahedron. The main application is that derivative relaxations of the… read more here.
Keywords: linear matrix; matrix inequalities; matrix; spectral linear ... See more keywords
A successive constraint approach to solving parameter-dependent linear matrix inequalities
Sign Up to like & getrecommendations! Published in 2017 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2017.05.001
Abstract: Abstract We present a successive constraint approach that makes it possible to cheaply solve large-scale linear matrix inequalities for a large number of parameter values. The efficiency of our method is made possible by an… read more here.
Keywords: successive constraint; matrix inequalities; linear matrix; constraint approach ... See more keywords
Comparison of Multi-Sensor Task Assignment Methods: Linear Matrix Inequalities vs. Brute Force
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DOI: 10.1016/j.ifacol.2018.11.498
Abstract: Abstract Due to significant advancements in embedded systems, sensor devices, and wireless communication technology, sensor networks have been attracting widespread attention in areas such as target tracking, monitoring, and surveillance. Technological advancements made it possible… read more here.
Keywords: assignment methods; matrix inequalities; task assignment; linear matrix ... See more keywords
Analytical solutions to the matrix inequalities in the robust control scheme based on implicit Lyapunov function for spacecraft rendezvous on elliptical orbit
Sign Up to like & getrecommendations! Published in 2017 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2017.0176
Abstract: In this study, the problem of robust control for spacecraft rendezvous on elliptical orbit, which contains parameter uncertainties and external disturbances, is investigated based on the implicit Lyapunov function method. A state-feedback controller is first… read more here.
Keywords: spacecraft rendezvous; elliptical orbit; robust control; control ... See more keywords
Fuzzy Attitude Control of Spacecraft With Fuel Sloshing via Linear Matrix Inequalities
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Aerospace and Electronic Systems"
DOI: 10.1109/taes.2018.2820419
Abstract: This paper presents and compares two fuzzy controllers for attitude stabilization of a spacecraft with partially filled fuel tank: a fuzzy controller based on the parallel distributed compensation (PDC) technique and a fuzzy controller based… read more here.
Keywords: spacecraft; control; matrix inequalities; fuel ... See more keywords
Linear Matrix Inequalities in Control Problems
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DOI: 10.1134/s00122661200110105
Abstract: Many contemporary automatic control problems are characterized by large dimensions, the presence of uncertainty in the description of the system, the presence of uncontrolled exogenous disturbances, the need to analyze large amounts of information online,… read more here.
Keywords: control; matrix inequalities; inequalities control; linear matrix ... See more keywords
Gaussian Optimality for Derivatives of Differential Entropy Using Linear Matrix Inequalities †
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DOI: 10.3390/e20030182
Abstract: Let Z be a standard Gaussian random variable, X be independent of Z, and t be a strictly positive scalar. For the derivatives in t of the differential entropy of X+tZ, McKean noticed that Gaussian… read more here.
Keywords: entropy; matrix inequalities; derivatives differential; linear matrix ... See more keywords