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Linear matrix inequalities [PDF]
Mathematical Communications, 1997 The purpose of the paper is a popularisation of linear matrix ...
M. Alić
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Exact Algorithms for Linear Matrix Inequalities [PDF]
SIAM Journal on Optimization, 2016 Let $A(x)=A\_0+x\_1A\_1+...+x\_nA\_n$ be a linear matrix, or pencil, generated by given symmetric matrices $A\_0,A\_1,...,A\_n$ of size $m$ with rational entries. The set of real vectors x such that the pencil is positive semidefinite is a convex semi-algebraic set called spectrahedron, described by a linear matrix inequality (LMI).
Henrion, Didier +2 more
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The matricial relaxation of a linear matrix inequality [PDF]
Mathematical Programming, 2012 v1: 34 pages, v2: 41 pages; supplementary material is available in the source file, or see http://srag.fmf.uni-lj.si/
Helton, J. William +2 more
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Linear matrix inequality representation of sets [PDF]
Communications on Pure and Applied Mathematics, 2006 AbstractThis article concerns the question, Which subsets of ℝm can be represented with linear matrix inequalities (LMIs)? This gives some perspective on the scope and limitations of one of the most powerful techniques commonly used in control theory. Also, before having much hope of representing engineering problems as LMIs by automatic methods, one ...
Helton, J. William, Vinnikov, Victor
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Output-Feedback Control of Nonlinear Systems using Control Contraction Metrics and Convex Optimization [PDF]
, 2014 Control contraction metrics (CCMs) are a new approach to nonlinear control design based on contraction theory. The resulting design problems are expressed as pointwise linear matrix inequalities and are and well-suited to solution via convex optimization.
Manchester, Ian R. +1 more
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Applied Sciences, 2020 This paper proposes a novel method for pole placement in linear vibrating systems through state feedback and rank-one control. Rather than assigning all the poles to the desired locations of the complex plane, the proposed method exactly assigns just the
Roberto Belotti +3 more
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Decentralized Controller Design for Stochastic Gene Regulatory Networks [PDF]
Journal of Electrical and Computer Engineering Innovations, 2019 Background and Objectives: Regulation of protein expression in cellular level are so challenging. In cellular scale, biochemical processes are intrinsically noisy and many convenient controllers aren’t physically implementable.Methods: In this paper, we ...
M. Mohammadian
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Adaptive Cut Generation Algorithm for Improved Linear Programming Decoding of Binary Linear Codes [PDF]
, 2012 Linear programming (LP) decoding approximates maximum-likelihood (ML) decoding of a linear block code by relaxing the equivalent ML integer programming (IP) problem into a more easily solved LP problem.
Siegel, Paul H., Zhang, Xiaojie
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Complexity, 2018 This paper is concerned with a class of discrete-time nonhomogeneous Markov jump systems with multiplicative noises and time-varying transition probability matrices which are valued on a convex polytope. The stochastic stability and finite-time stability
Shaowei Zhou +3 more
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Computation, 2021 The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation and delay-decomposition approach.
Jitsin Piyawatthanachot +2 more
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