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A novel iterative method to approximate structured singular values [PDF]
SIAM Journal on Matrix Analysis and Applications, 2016 A novel method for approximating structured singular values (also known as mu-values) is proposed and investigated. These quantities constitute an important tool in the stability analysis of uncertain linear control systems as well as in structured ...
Guglielmi, Nicola +2 more
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Computing Structured Singular Values for Sturm-Liouville Problems
International Journal of Analysis and Applications, 2019 In this article we present numerical computation of pseudo-spectra and the bounds of Structured Singular Values (SSV) for a family of matrices obtained while considering matrix representation of SturmLiouville (S-L) problems with eigenparameter-dependent
Mutti-Ur Rehman +2 more
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Structured singular values for Bernoulli matrices [PDF]
International Journal of Advances in Applied Mathematics and Mechanics, 2017 Mutti-Ur Rehman
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The Dual Characterization of Structured and Skewed Structured Singular Values
Mathematics, 2022 The structured singular values and skewed structured singular values are the well-known mathematical quantities and bridge the gap between linear algebra and system theory.
Mutti-Ur Rehman +4 more
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The Stability Analysis of Linear Systems with Cauchy—Polynomial-Vandermonde Matrices
Axioms, 2023 The numerical approximation of both eigenvalues and singular values corresponding to a class of totally positive Bernstein–Vandermonde matrices, Bernstein–Bezoutian structured matrices, Cauchy—polynomial-Vandermonde structured matrices, and quasi ...
Mutti-Ur Rehman +3 more
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Structured singular value of implicit systems [PDF]
Mathematical Methods in the Applied Sciences, 2020 Implicit systems provide a general framework in which many important properties of dynamic systems can be studied. Implicit systems are especially relevant to behavioural systems theory, the analysis and synthesis of complex interconnected systems, systems identification and robust control.
Limantseva, O. +2 more
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Mathematics, 2023 The μ-value or structured singular value is a prominent mathematical tool to analyze and synthesize both the robustness and performance of time-invariant systems. We establish and analyze new results concerning structured singular values for the Hadamard
Mutti-Ur Rehman +3 more
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STRUCTURED SINGULAR VALUES OF SOME GENERALISED STOCHASTIC MATRICES
Bulletin of the Australian Mathematical Society, 2021 AbstractWe investigate a class of generalised stochastic complex matrices constructed from the class of all doubly stochastic matrices and a special class of circulant matrices. We determine the exact values of the structured singular values of all matrices in the class in terms of the constant row (column) sum.
KIJTI RODTES, MUTTI UR REHMAN ABBASI
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The complex structured singular value [PDF]
Automatica, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Packard, A., Doyle, J.
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On Instability Analysis of Linear Feedback Systems
Computation, 2020 The numerical approximation of the μ -value is key towards the measurement of instability, stability analysis, robustness, and the performance of linear feedback systems in system theory.
Mutti-Ur Rehman, Jehad Alzabut
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