Results 231 to 240 of about 413,291 (285)
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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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Linear Matrix Inequalities in Control Systems with Uncertainty
Automation and Remote Control, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris T. Polyak +2 more
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Convex Matrix Inequalities Versus Linear Matrix Inequalities
IEEE Transactions on Automatic Control, 2009Most linear control problems lead directly to matrix inequalities (MIs). Many of these are badly behaved but a classical core of problems are expressible as linear matrix inequalities (LMIs). In many engineering systems problems convexity has all of the advantages of a LMI. Since LMIs have a structure which is seemingly much more rigid than convex MIs,
J. William Helton +3 more
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On linearized versions of matrix inequalities
Linear Algebra and its Applications, 2023The authors prove linearized versions of the Aleksandrov-Fenchel and Brunn-Minkowski inequalities for positive semidefinite matrices. In order to present the results some definitions are needed. Given \(n\ge 1\) and arbitrary \(n\times n\) matrices \(A_1,\cdots,A_n\), denote by \(A_j^{(i)}\) the \(i\)-th column of the matrix \(A_j\).
de Vries, Christopher +2 more
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Differential Linear Matrix Inequalities Optimization
IEEE Control Systems Letters, 2019This letter proposes a new method to solve convex programming problems with constraints expressed by differential linear matrix inequalities (DLMIs). Initially, feasible solutions of interest are characterized and a general numerical method, based on the well known outer linearization technique, is proposed and discussed from theoretical and numerical ...
Tiago R. Goncalves +2 more
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On cone-invariant linear matrix inequalities
IEEE Transactions on Automatic Control, 2000Summary: An exact solution for a special class of cone-preserving linear matrix inequalities (LMIs) is developed. By using a generalized version of the classical Perron-Frobenius theorem, the optimal value is shown to be equal to the spectral radius of an associated linear operator.
Pablo A. Parrilo, Sven Khatri
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On the Numerical Solution of Differential Linear Matrix Inequalities
Journal of Optimization Theory and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marco Ariola +3 more
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Linear Matrix Inequalities in Control
2007This chapter gives an introduction to the use of linear matrix inequalities (LMIs) in control. LMI problems are defined and tools described for transforming matrix inequality problems into a suitable LMI-format for solution. Several examples explain the use of these fundamental tools.
Herrmann, G +2 more
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Error Bounds for Linear Matrix Inequalities
SIAM Journal on Optimization, 2000Summary: For iterative sequences that converge to the solution set of a linear matrix inequality, we show that the distance of the iterates to the solution set is at most \( O(\varepsilon^{2^{-d}})\). The nonnegative integer \(d\) is the so-called degree of singularity of the linear matrix inequality, and \(\varepsilon \) denotes the amount of ...
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Linear Matrix Inequalities in Control Problems
Differential Equations, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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