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The Stability Radius

2002
In Chapters 8 and 9, the stability of polynomial families $$ P\left( {s,Q} \right)\; = \;\left\{ {p\left( {s,q} \right)\;|\;q\; \in \;Q} \right\}$$ (1) with p(s, q) = ao(4) + ai(4)s +… + an(q)sn and q, E [4,; 4:], i = 1, 2,…, € was investigated. The primary interest was necessary and sufficient conditions for stability.
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On the Optimum Radius of Robust Stability for Schur Polynomials

Journal of Optimization Theory and Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, L. X., Sun, Y. X.
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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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Stability radius for extended linearization with system uncertainty

49th IEEE Conference on Decision and Control (CDC), 2010
The problem considered is the computation of the stability radius for a class of nonlinear systems which have been brought under extended linearization and are subject to matrix perturbations that are either structured or unstructured. A method to obtain an upper bound for the radius of stability in extended linearization based on overvaluing a ...
Bahram Shafai, Sam Nazari
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An algorithm for the computation of the structured complex stability radius

Automatica, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Diederich Hinrichsen   +2 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., 2003
Coefficients 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 ...
Keishi Kawabata   +2 more
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Resolvent Matrix and Stability Radius

1991
Consider the homogeneous equation of a dynamic system \({\rm{\dot x(}}t) = {\rm{Ax(}}t){\rm{ }} \in {{\rm{R}}^n}\) where A represents the nominal system which is assumed stable. Let the system be linearly perturbed by an additive error matrix ΔA $${\rm{\dot x(}}t) = ({\rm{A + }}\Delta {\rm{A)x(}}t)$$ (23.1) where ΔA is spectral norm bounded ...
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An Improved Bound on the Real Stability Radius

1992 American Control Conference, 1992
In this paper, we give a new lower bound on the real stability radius of a real stable matrix. We also conjecture that this new lower bound is equal to the exact value of the real stability radius.
L. Qiu, E.J. Davison
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Computation of stability radius for families of bivariate polynomials

Multidimensional Systems and Signal Processing, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimum Radius of Robust Stability for Schur Polynomials

Journal of Optimization Theory and Applications, 2000
The author presents a new approach to the robust stability for linear discrete systems. A comparison to other known methods would be of some interest here.
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