Results 1 to 10 of about 3,340,940 (292)
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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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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A formula for computation of the real stability radius [PDF]
Automatica, 1995 The authors present a method for approximation of the maximal perturbations of a real matrix. Its eigenvalues have to stay in a prescribed area in the complex plane. Such a measure of robustness of the eigenvalue clustering property is called a real stability radius.
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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The Stability Radius of Fredholm Linear Pencils
Journal of Mathematical Analysis and Applications, 2001 Let \(T\) and \(S\) be two bounded linear operators from Banach spaces \(X\) into \(Y\), and suppose that \(T\) is Fredholm and \(\dim N(T-\lambda S)\) is constant in a neighborhood of \(\lambda=0\). Let \(d(T;S)\) be the supremum of all \(r>0\) such that \(\dim N(T-\lambda S)\) and \(codim R(T-\lambda S)\) are constant for all \(\lambda\) with ...
Cătălin Badea, Mostafa Mbekhta
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q-RADIUS STABILITY OF MATRIX POLYNOMIALS [PDF]
International Journal of Pure and Apllied Mathematics, 2014 In this paper, the q−radius stability of a matrix polynomial P(λ) relative to an open region of the complex plane and its relation to the q−numerical range of P(λ) are investigated. Also, we obtain a lower bound that involves the distance of to the connected components of the q−numerical range of P(λ).
Y. Jahanshahi, B. Yousefi
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Stability Radius and Internal Versus External Stability in Banach Spaces: An Evolution Semigroup Approach [PDF]
SIAM Journal of Control and Optimization, 2000 In this paper the theory of evolution semigroups is developed and used to provide a framework to study the stability of general linear control systems. These include autonomous and nonautonomous systems modeled with unbounded state-space operators acting
Stephen Clark +3 more
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