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A power method for the structured singular value [PDF]
Proceedings of the 27th IEEE Conference on Decision and Control, 2003 An iterative algorithm is presented to compute lower bounds for the structured singular value ( mu ). The algorithm resembles a mixture of power methods for eigenvalues and singular values, since the structured singular value can be viewed as a generalization of both. If the algorithm converges, a lower bound for mu results.
Packard, Andy +2 more
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Bounds on the Singular Values of Matrices with Displacement Structure
SIAM Review, 2019 Matrices with displacement structure, such as Pick, Vandermonde, and Hankel matrices, appear in a diverse range of applications. In this paper, we use an extremal problem involving rational functions to derive explicit bounds on the singular values of such matrices. For example, we show that the kth singular value of a real n \times n positive definite
Bernhard Beckermann, Alex Townsend
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Frontiers in Energy Research, 2022 New features like high penetration level, low inertia, and weak damping are decreasing voltage support capacity in the power system as it sees large-scale renewable energy source (RES) integration continuously.
Zhengkui Zhao +5 more
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On the norms used in computing the structured singular value [PDF]
, 1990 Different norms are considered to replace the Euclidean norm in an algorithm given by M. H. K. Fan and A. L. Tits (ibid., vol. 33, pp. 284-289, 1988), which is used for the computation of the structured singular value of any matrix.
Tsing, NamKiu
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Fingerprint Database Reconstruction Based on Robust PCA for Indoor Localization
Sensors, 2019 The indoor localization method based on the Received Signal Strength (RSS) fingerprint is widely used for its high positioning accuracy and low cost. However, the propagation behavior of radio signals in an indoor environment is complicated and always ...
Lingwen Zhang +3 more
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Robust μ-Controller for Automatic Glucose Regulation for Type I Diabetes Mellitus
Mathematics, 2023 Type I diabetes mellitus is a serious autoimmune condition impacting a large population around the world that need a daily infusion of insulin substitutes to regulate blood glucose levels within healthy limits.
Jordan Kralev, Tsonyo Slavov
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Computing Lower Bounds of µ-Values for a Class of Rotary Electrical Machines
International Journal of Analysis and Applications, 2019 In this article we present the computations of lower bounds of well-known mathematical quantity in control theory known as structured singular value for a family of structured matrices obtained for a DC Motor, that is an electrical machine.
Mutti-Ur Rehman, M. Fazeel Anwar
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Structured pseudospectra in structural engineering
, 2005 This paper presents a new method for computing the pseudospectra of a matrix that respects a prescribed sparsity structure. The pseudospectrum is defined as the set of points in the complex plane to which an eigenvalue of the matrix can be shifted by a ...
Wagenknecht, T, Agarwal, J
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International Journal of Advanced Robotic Systems, 2018 In a complex rigid–flexible coupling environment of overhead high-voltage transmission line, the manipulator robust trajectory tracking motion control of live maintenance robot is the premise of fulfilling the entire maintenance operations.
Wei Jiang +6 more
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Visual perception of procedural textures: identifying perceptual dimensions and predicting generation models. [PDF]
PLoS ONE, 2015 Procedural models are widely used in computer graphics for generating realistic, natural-looking textures. However, these mathematical models are not perceptually meaningful, whereas the users, such as artists and designers, would prefer to make ...
Jun Liu +4 more
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