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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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Performance-Based GNSS Satellite Selection: A Linear Matrix Inequality (LMI) Approach
Navigation, 2023 In the multi-GNSS era, the observable satellites are more than needed and the benefit of processing more than enough satellites is marginal. It is thus desired to select a subset of satellites so that the receiver operation complexity and navigation ...
Jyh-Ching Juang
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Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances
Mathematics, 2023 This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances.
Chengdan Wang +2 more
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Journal of Inequalities and Applications, 2009 By using the methods of linear algebra and matrix inequality theory, we obtain the characterization of admissible estimators in the general multivariate linear model with respect to inequality restricted parameter set.
Shangli Zhang, Gang Liu, Wenhao Gui
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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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Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality
Complexity, 2020 This paper focuses on delay-dependent stability analysis for systems with interval time-varying delays. Based on a new integral inequality and a generalized reciprocally convex combination matrix inequality, a new delay-dependent stability criterion is ...
Zerong Ren, Jun-kang Tian
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EXPONENTIAL STABILITY CONTROL FOR NETWORKED SYSTEMS WITH INTERVAL DISTRIBUTION TIME DELAYS [PDF]
Acta Informatica Malaysia, 2018 To study the problem of exponential stability control for a class of networked control systems with interval distribution time delays, a new approach is given to model the networked control systems with the stochastic time delays which is assumed to be
Hejun, Fushun
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Optimal control of satellite system model using Linear Matrix inequality approach
Results in Control and Optimization, 2023 In this paper, a robust control strategy has been proposed for the satellite attitude control system, namely, ℋ∞with regional pole constraints. This design method has been applied to eliminate the effects of disturbances and uncertainties, which are ...
Ali Khudhair Al-Jiboory
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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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Discrete-time output feedback sliding-mode control design for uncertain systems using linear matrix inequalities [PDF]
, 2011 An output feedback-based sliding-mode control design methodology for discrete-time systems is considered in this article. In previous work, it has been shown that by identifying a minimal set of current and past outputs, an augmented system can be ...
Floquet, Thierry +7 more
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