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Enlarging the radius of stability and stability regions in Data Envelopment Analysis
European Journal of Operational Research, 2019This paper extends fundamental results on metric sensitivity in Data Envelopment Analysis. Specifically, it shows how to obtain a larger radius of stability for a decision- making unit (DMU) by exploiting knowledge about its variability, and how to enlarge a DMU's region of stability to a nonsymmetric hyperbox.
Luka Neralić, Richard E. Wendell
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On the relationship between the spectral radius and stability radius for discrete systems
IEEE Transactions on Automatic Control, 1990The main result is summarized in the following theorem: For a Schur matrix A (i.e. \(r(A)
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Stability assessment of distal radius fractures
Injury, 1989A total of 112 consecutive cases of fractures of the distal radius managed conservatively were graded according to radiological criteria using the first radiograph. These criteria, as well as age over 60 years, were considered as gravity factors. A strong correlation was found between these criteria and the risk of secondary displacement, despite a ...
Lafontaine, Murielle +2 more
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Biomechanical Evaluation of Distal Radius Fracture Stability
Journal of Orthopaedic Trauma, 1998(a) To determine the radiographic correlation between an artificially created dorsal comminution (via a wedge osteotomy) and dorsal tilt (clinical instability) and (b) to determine the efficacy of cast immobilization in maintaining reduction of the simulated fracture pattern as a predictor of successful treatment in the clinical setting.Biomechanical ...
M G, Zmurko, W A, Eglseder, S M, Belkoff
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1995
Abstract In applications, Ω is considered a “good” set, and a matrix X having all its eigenvalues in O is considered a “good” matrix. For example, if n is the open left half-plane, then a “good” matrix means that the matrix is c-stable. In general, r(A; B, C, Ω) can be interpreted informally as the “distance” from a given “good” matrix A
Peter Lancaster, Leiba Rodman
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Abstract In applications, Ω is considered a “good” set, and a matrix X having all its eigenvalues in O is considered a “good” matrix. For example, if n is the open left half-plane, then a “good” matrix means that the matrix is c-stable. In general, r(A; B, C, Ω) can be interpreted informally as the “distance” from a given “good” matrix A
Peter Lancaster, Leiba Rodman
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On the Real Structured Stability Radius
IFAC Proceedings Volumes, 1993Abstract This paper presents a formula for the real structured stability radius with respect to an arbitrary stability region in the complex plane. This formula can be easily computed.
L. Qiu +5 more
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Directional stability radius-a stability analysis tool for uncertain polynomial systems
Proceedings of the 41st SICE Annual Conference. SICE 2002., 2003Coefficients of characteristic polynomials for stable parametrically uncertain systems are allowed to perturb to some extent for stability. Stability radius is a useful tool to assess the allowance of the stability for the systems. To enhance its usefulness, we modify stability radius so that it takes into account of given restricted perturbations ...
K. Kawabata, T. Mori, Y. Kuroe
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Maximizing the stability radius: an LMI approach
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001Given a stabilizable linear system Ex/spl dot/ = Ax + Bu with sE - A regular, we analyze the stability robustness of the closed-loop system (E + BK) = (A + BF)x + v, obtained by proportional and derivative (PD) state feedback u = Fx Kx/spl dot/ + v. Our goal is to maximize the stability radius of the closed-loop system matrix s(E + BK) - (A + BF) over ...
C. Oari, R. Stefan, P. Van Dooren
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