Results 11 to 20 of about 17,781 (264)
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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Structural Divergence Between the Moltbook AI-Agent Network and Human Social Networks. [PDF]
Adv Sci (Weinh)Analysis of the Moltbook AI‐agent network reveals a striking combination of familiar global scaling and distinct internal organization. Attention is highly concentrated, reciprocity is limited, connected triads are suppressed, and communities are strongly modular.
Hou W, Ji Z.
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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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Robust Control Theory for Time Lag System in Chemical Engineering and Its Application
Chemical Engineering Transactions, 2017 A series of problems of the time-lag system including robust stability analysis and guaranteed cost controller design are studied mainly based on the Lyapunov stability theory by linear matrix inequality method and time lag partitioning method in this ...
Mingli Zhou
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Discrete Dynamics in Nature and Society, 2010 This paper focuses on the chaos control problem of the unified chaotic systems with structured uncertainties. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the ...
Neng-Sheng Pai, Her-Terng Yau
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Determinant Maximization with Linear Matrix Inequality Constraints [PDF]
SIAM Journal on Matrix Analysis and Applications, 1998 Summary: The problem of maximizing the determinant of a matrix subject to linear matrix inequalities (LMIs) arises in many fields, including computational geometry, statistics, system identification, experiment design, and information and communication theory. It can also be considered as a generalization of the semidefinite programming problem.
Lieven Vandenberghe +2 more
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Mathematics, 2021 In this study, the observer-based state feedback stabilizer design for a class of chaotic systems in the existence of external perturbations and Lipchitz nonlinearities is presented.
Hamede Karami +4 more
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Spectral linear matrix inequalities [PDF]
Advances in Mathematics, 2021 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 positive semidefinite cone are spectrahedra. From this we further deduce statements on their Wronskians. These
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Discrete Dynamics in Nature and Society, 2015 This paper is concerned with the robust distributed H∞ filtering problem for nonlinear systems subject to sensor saturations and fractional parameter uncertainties. A sufficient condition is derived for the filtering error system to reach the required H∞
Dong Liu +4 more
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