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Robust Stability and Stability Radius for Variational Control Systems [PDF]
Abstract and Applied Analysis, 2008 We consider an integral variational control system on a Banach space X and we study the connections between its uniform exponential stability and the (I(ℝ+, X), O(ℝ+, X)) stability, where I and O are Banach function spaces. We identify the viable classes of input spaces and output spaces related to the exponential stability of systems and provide ...
Bogdan Sasu
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Regional Stability and Stability Radius* [PDF]
ESAIM: Proceedings and Surveys, 2015 In this work we consider the problem of stability, for distributed parameter systems, through the space variable. We give an extension of the stability radius, introduced by A. J. Pritchard and S. Townley [7, 10], to the regional case.
Bernoussi A., Bel Fekih A.
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Stability radius as a method for comparing the dynamics of neuromechanical systems. [PDF]
IEEE Trans Neural Syst Rehabil Eng, 2013 Bingham JT, Ting LH.
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On the real stability radius of sparse systems [PDF]
Automatica, 2020 In this paper, we study robust stability of sparse LTI systems using the stability radius (SR) as a robustness measure. We consider real perturbations with an arbitrary and pre-specified sparsity pattern of the system matrix and measure their size using the Frobenius norm.
Fabio Pasqualetti, Vaibhav Katewa
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On the Stability of a class of Polytopes of third order square matrices and stability radius
Revista de Matemática: Teoría y Aplicaciones, 2011 In this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter $r$.
Efrén Vázquez Silva
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A formula for computation of the real stability radius [PDF]
Automatica, 1995 This paper presents a readily computable formula for the real stability radius with respect to an arbitrary stability region in the complex plane.
Li Qiu +5 more
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Approximating the Real Structured Stability Radius with Frobenius Norm Bounded Perturbations [PDF]
SIAM Journal on Matrix Analysis and Applications, 2017 We propose a fast method to approximate the real stability radius of a linear dynamical system with output feedback, where the perturbations are restricted to be real valued and bounded with respect to the Frobenius norm.
Nicola Guglielmi +3 more
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Appropriately Matched Fixed-Angle Locking Plates Improve Stability in Volar Distal Radius Fixation [PDF]
Journal of Hand Surgery Global Online, 2022 Purpose: Size options for volar locking plates may provide value for distal radius fixation. We compared excessively narrow plates with plates that were appropriately matched in width for fixation of an multifragmented distal radius fracture model ...
Natalia D. McIver, MS +4 more
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The stability radius of linear operator pencils
, 2000 Let T and S be two bounded linear operators from Banach spaces X into Y and suppose that T is Fredholm and the stability number k(T;S) is 0. Let d(T;S) be the supremum of all r > 0 such that dim N(T- S) and codim R(T- S) are constant for all with | | < r. It was proved in 1980 by H. Bart and D.C. Lay that d(T;S) = \lim_{n\to\infty} _{n}(T;S)
Cătălin Badea, Mostafa Mbekhta
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A lower bound for the stability radius of time-varying systems [PDF]
, 2004 We introduce and characterize the stability radius of systems whose state evolution is described by linear skew-product semiflows. We obtain a lower bound for the stability radius in terms of the Perron operators associated to the linear skew-product ...
Adina Luminiţa Sasu, Bogdan Sasu
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