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An Improved Bound on the Real Stability Radius
1992 American Control Conference, 1992In 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.
Li Qiu, Edward J. Davison
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Stabilized bubbles in the body: pressure-radius relationships and the limits to stabilization
Journal of Applied Physiology, 1997Van Liew, Hugh D., and Soumya Raychaudhuri. Stabilized bubbles in the body: pressure-radius relationships and the limits to stabilization. J. Appl. Physiol.82(6): 2045–2053, 1997.—We previously outlined the fundamental principles that govern behavior of stabilized bubbles, such as the microbubbles being put forward as ultrasound contrast agents.
Hugh D. Van Liew, Soumya Raychaudhuri
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Robustness Radius for Sector Stability of Polynomials
IFAC Proceedings Volumes, 1996Abstract 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, Boris T. Polyak
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Resolvent Matrix and Stability Radius
1991Consider 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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Optimal schedules with infinitely large stability radius
, 1995Recently necessary and sufficient conditions have been developed for a given optimal makespan schedule to have an infinite stability radius. In other words, there is identified a problem class whose optimal solutions are implied only by the given ...
Svetlana A. Kravchenko+2 more
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Stability radius optimization: A geometric approach
Systems & Control Letters, 1990Abstract The subject of this paper is a geometric approach to the robustness optimization problem for uncertain finite dimensional linear systems. For the structurally perturbed stabilizable pair ( A, B ), we show that optimally robust feedback stabilization is possible via the class of feedbacks parameterizing ( A, B ) feedback invariant subspaces ...
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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 ...
Yasuaki Kuroe+2 more
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On the real stability radius of positive linear discrete-time systems
, 1995Robust stability of linear discrete-time systems invariant with respect to a convex cone in R n is considered. An implicit formula for the real stability radius is established and proved to coincide with the complex stability radius for wide classes of ...
N. K. Son
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Riccati equation approach to maximizing the complex stability radius by state feedback
, 1990In this paper we study the problem of maximizing the complex stability radius of a linear time-invariant state-space system by linear state feedback, We show that the supreme achievable stability radius can be characterized via parametrized Riccati ...
D. Hinrichsen, A. Pritchard, S. Townley
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The stability radius of an optimal line balance with maximum efficiency for a simple assembly line
European Journal of Operational Research, 2019Tsung-Chyan Lai, Y. Sotskov, A. Dolgui
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