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On the Optimum Radius of Robust Stability for Schur Polynomials
Journal of Optimization Theory and Applications, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, L. X., Sun, Y. X.
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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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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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An algorithm for the computation of the structured complex stability radius
Automatica, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Diederich Hinrichsen +2 more
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Stability radius for extended linearization with system uncertainty
49th IEEE Conference on Decision and Control (CDC), 2010The 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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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 ...
Keishi Kawabata +2 more
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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.
L. Qiu, E.J. Davison
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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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Computation of stability radius for families of bivariate polynomials
Multidimensional Systems and Signal Processing, 1993zbMATH 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, 2000The 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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Note on a Vertex Stability Radius in the Shortest Path Problem
Operations Research ForumzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Egor M. Grishin +2 more
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