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Strong stabilization with a polytope as domain of stability
Proceedings of 35th IEEE Conference on Decision and Control, 2002This paper considers the problem of stabilizing a plant by means of an asymptotically stable controller assuming that the domain of stability is specified as a polytope in the coefficient space of the closed loop characteristic polynomial.
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On stability of strong and weak reflected shocks
Shock Waves, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mölder, S. +4 more
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On strong stability and higher-order sequentiality
Proceedings Ninth Annual IEEE Symposium on Logic in Computer Science, 2002Proposes a definition (by reducibility) of sequentiality for the interpretations of higher-order programs and proves the equivalence between this notion and strong stability. >
Ehrhard, Thomas, Colson, Loic
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A Topological Result on Strong Stabilization Problem
IEEE Transactions on Automatic Control, 2006This note studies the robustness of nonstrong stabilizability. We consider single-input-single-output (SISO) continuous time linear systems under graph topology. A key contribution of this note is to show that there are two classes of nonstrongly stabilizable systems: One which contains plants that can be rendered strongly stabilizable by an arbitrary ...
Myung-Gon Yoon, Hidenori Kimura
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Systems & Control Letters, 1986
The concepts of strong D-stability and strong block D-stability are introduced. A matrix \(F\in R^{m\times m}\) is said to be D-stable [block D-stable with respect to a multiindex \((m_ 1,...,m_ M)]\) if DF is stable for all \(D=diag\cdot \{d_ 1,...,d_ m\}\) [for all \(D=block\) \(diag\cdot \{d,I_{m_ 1},...,d_ MI_{m_ M}\}]\) with \(d_ i>0\).
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The concepts of strong D-stability and strong block D-stability are introduced. A matrix \(F\in R^{m\times m}\) is said to be D-stable [block D-stable with respect to a multiindex \((m_ 1,...,m_ M)]\) if DF is stable for all \(D=diag\cdot \{d_ 1,...,d_ m\}\) [for all \(D=block\) \(diag\cdot \{d,I_{m_ 1},...,d_ MI_{m_ M}\}]\) with \(d_ i>0\).
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On strong stability for linear integral equations
Mathematical Systems Theory, 1973The notion of strong or adjoint stability for linear ordinary differential equations is generalized to the theory of Volterra integral equations. It is found that this generalization is not unique in that equivalent definitions for differential equations lead to different stabilities for integral equations in general. Three types of stabilities arising
John M. Bownds, J. M. Cushing
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A Lyapunov approach to strong stability of semigroups
Systems & Control Letters, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lassi Paunonen, Hans Zwart
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Strong stability preserving transformed DIMSIMs
Journal of Computational and Applied Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Izzo, Giuseppe, Jackiewicz, Zdzislaw
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A 1-Strong Self-stabilizing Transformer
2006In this paper we study k-strong self-stabilizing systems, which satisfy the properties of strong confinement and of k-linear time adaptivity. Strong confinement means that a non faulty processor has the same behavior with or without the presence of faults elsewhere in the system (in other words faults are confined).
Joffroy Beauquier +2 more
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Stability of Orbits in a Strong-Focusing Synchrotron
Physical Review, 1953The influence of gaps for injection, acceleration, etc., on the stability of orbits in a strong-focusing synchrotron is examined and found not to be negligible. The calculation also gives some information about the resonances resulting from irregularities.
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