Results 11 to 20 of about 3,936,282 (345)
Application of three-body stability to globular clusters – I. The stability radius [PDF]
, 2011 The tidal radius is commonly determined analytically by equating the tidal field of the galaxy to the gravitational potential of the cluster. Stars crossing this radius can move from orbiting the cluster centre to independently orbiting the galaxy.
G. Kennedy
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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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The Stability Radius of Fredholm Linear Pencils
Journal of Mathematical Analysis and Applications, 2001 AbstractLet T and S be two bounded linear operators from Banach spaces X into Y, and suppose that T is Fredholm and dimN(T−λS) is constant in a neighborhood of λ=0. Let d(T;S) be the supremum of all r>0 such that dimN(T−λS) and codimR(T−λS) are constant for all λ with |λ|
Cătălin Badea, Mostafa Mbekhta
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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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Stability radius of second order linear structured differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2015 For arbitrary second order square matrices $A, B, C$; $A$ Hurwitz stable, the minimum positive value $R$ for which the differential inclusion $$\dot{x}\in F_{R}(x):=\{(A+B\Delta C)x, \ \Delta \in \mathbb{R}^{2\times 2},\ \|\Delta \| \le R \}$$ fails to ...
Henry González
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Stability radius for infinite-dimensional interconnected systems [PDF]
Systems & Control Letters, 2020 The stability radius for finitely many interconnected linear exponentially stable well-posed systems with respect to static perturbations is studied. If the output space of each system is finite-dimensional, then a lower bound for the stability radius in terms of the norm of the corresponding transfer functions is given.
Birgit Jacob +2 more
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On the stability radius of a generalized state-space system
Linear Algebra and its Applications, 1993 AbstractThe concept of “distance to instability” of a system matrix is generalized to system pencils which arise in descriptor (semistate) systems. Difficulties arise in the case of singular systems, because the pencil can be made unstable by an infinitesimal perturbation.
Ralph Byers, Nancy Nichols
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A Formula for the Stability Radius of Time-Varying Systems
Journal of Differential Equations, 1998 AbstractThis paper considers the stability radius of time-varying systems with respect to linear dynamical perturbations. A formula for the stability radius in terms of the norm of a certain input–output operator is developed. Further it is shown that the real and complex stability radius coincide.
B. Jacob
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Mid-Flexion Sagittal Stability of Total Knee Arthroplasty Implanted With Kinematic Alignment: A Quantitative Radiographic Laxity Study With Single-Radius Posterior-Stabilized and Condylar-Stabilized Implants. [PDF]
Arthroplast TodayHolbrook LK, Horton EN, Scott DF.
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Axioms, 2021 This note is devoted to a robust stability analysis, as well as to the problem of the robust stabilization of a class of continuous-time Markovian jump linear systems subject to block-diagonal stochastic parameter perturbations. The considered parametric
Vasile Dragan, Samir Aberkane
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