Results 11 to 20 of about 412,258 (327)
Global exponential periodicity of nonlinear neural networks with multiple time-varying delays
AIMS Mathematics, 2023 Global exponential periodicity of nonlinear neural networks with multiple time-varying delays is investigated. Such neural networks cannot be written in the vector-matrix form because of the existence of the multiple delays. It is noted that although the
Huahai Qiu +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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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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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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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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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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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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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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The Kalman-Yakubovich-Popov lemma in a behavioural framework [PDF]
, 1997 The classical Kalman-Yakubovich-Popov Lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality.
Geest, Robert van der, Trentelman, Harry
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