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Strong stability of linear parabolic time-optimal control problems
E S A I M: Control, Optimisation and Calculus of Variations, 2019Sufficient conditions for strong stability of a class of linear time-optimal control problems with general convex terminal set are derived. Strong stability in turn guarantees qualified optimality conditions.
Lucas Bonifacius, Konstantin Pieper
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Sequentiality and strong stability
[1991] Proceedings Sixth Annual IEEE Symposium on Logic in Computer Science, 2002It is shown that Kahn-Plotkin sequentiality can be expressed by a preservation property similar to stability and that this kind of generalized stability can be extended to higher order. The main result is the construction of a model where all morphisms are functions and, at ground types, these functions are sequential. >
A. Bucciarelli, T. Ehrhard
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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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Strong Stability in Variational Inequalities
SIAM Journal on Control and Optimization, 1995Summary: We consider a generalization of Kojima's strong stability in nonlinear programs to variational inequalities constrained by a system of equations and inequalities. Roughly speaking, strong stability refers to the local existence and uniqueness of a solution of a system under small perturbations.
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Enforcing Strong Stability of Explicit Runge-Kutta Methods with Superviscosity
Communication on Applied Mathematics and Computation, 2019A time discretization method is called strongly stable (or monotone), if the norm of its numerical solution is nonincreasing. Although this property is desirable in various of contexts, many explicit Runge-Kutta (RK) methods may fail to preserve it.
Zheng Sun, Chi-Wang Shu
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MPCC: on necessary conditions for the strong stability of C-stationary points
Optimization, 2019We consider the concept of strongly stable C-stationary points for mathematical programs with complementarity constraints. The original concept of strong stability was introduced by Kojima for standard optimization programs.
Daniel Hernández Escobar, J. Rückmann
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Strong-field stabilization effect
SPIE Proceedings, 1996Intense laser-atom interaction is modeled by placing an atom in a classical electromagnetic field. Computer simulations show new atomic responses to increasing laser intensities, among them are suppression of ionization and localization of the electron.
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Journal of the American Chemical Society, 2022
Noble metals have an irreplaceable role in catalyzing electrochemical reactions. However, large overpotential and poor long-term stability still prohibit their usage in many reactions (e.g., oxygen evolution/reduction).
Junming Zhang +12 more
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Noble metals have an irreplaceable role in catalyzing electrochemical reactions. However, large overpotential and poor long-term stability still prohibit their usage in many reactions (e.g., oxygen evolution/reduction).
Junming Zhang +12 more
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Strong stabilization over polytopes
IEEE Transactions on Automatic Control, 1999Summary: The problem considered consists of finding a stable controller assigning a closed-loop characteristic polynomial over a stability domain specified as a polytopic region of the space of characteristic polynomial coefficients. The controller is required to be stable with respect to the same polytopic stability region specified for the closed ...
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Communication on Applied Mathematics and Computation, 2018
High-order strong stability preserving (SSP) time discretizations are often needed to ensure the nonlinear (and sometimes non-inner-product) strong stability properties of spatial discretizations specially designed for the solution of hyperbolic PDEs ...
Zachary J. Grant +2 more
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High-order strong stability preserving (SSP) time discretizations are often needed to ensure the nonlinear (and sometimes non-inner-product) strong stability properties of spatial discretizations specially designed for the solution of hyperbolic PDEs ...
Zachary J. Grant +2 more
semanticscholar +1 more source