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Stability radius optimization: A geometric approach

Systems & Control Letters, 1990
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Robust Autopilot Design with Maximum Stability Radius

2006 IEEE International Conference on Industrial Technology, 2006
This paper presents the robust control design for aircraft autopilot. The controller provides a maximum stability radius to the closed-loop system. The technique uses the notion of complex stability radius and the Linear Matrix Inequalities (LMI) to obtain the feedback controller gain.
Rini Akmeliawati, Kuang Ye Chow
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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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Stability radius of linear delay systems

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999
We study robust stability of linear time delay systems under structured parameter uncertainty. A formula for complex stability radius is derived. We then consider linear positive delay systems and prove that for this class of systems the complex stability radius is equal to the real stability radius which can be computed via a simple formula.
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On the Stability Radius of Matrix Polynomials

Linear and Multilinear Algebra, 2002
The stability radius of a matrix polynomial P ( λ ) relative to an open region ω of the complex plane and its relation to the numerical range of P ( λ ) are investigated. Using an expression of the stability radius in terms of λ on the boundary of ω and A P ( λ ) m 1 A 2 , a lower bound is obtained.
P.J. Psarrakos, M.J. Tsatsomeros
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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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Robustness Radius for Sector Stability of Polynomials

IFAC Proceedings Volumes, 1996
Abstract The problem of robust sector stability for a family of polynomials is considered. Some graphical tests for sector stability of fixed polynomials are provided first. These conditions are extended for l p -affine family of polynomials. For p = 2, ∞ the criterion of robust sector stability can be stated in explicit form.
Ya. Z. Tsypkin, B.T. Polyak
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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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Cation radius and deoxycholic acid polymer-like structure stability

Journal of Pharmaceutical Sciences, 1967
The stability of the polymer-like structure displayed by deoxycholic acid gels under certain conditions has been investigated. The influence of cation dimensions, hydration, and hydrogen bonds is shown. A peculiar behavior of deoxycholic acid quaternary ammonium salts is discussed. Some biological implications are mentioned briefly.
C, Botré   +3 more
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Early active rehabilitation for operatively stabilized distal radius fractures

Journal of Hand Therapy, 2004
From the young to the elderly, distal radius fractures are very common. Extensive literature has been written regarding surgical management of distal radius fractures, but the same degree of attention has not been given to the critical rehabilitation that follows.
Dean W, Smith   +2 more
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