Lipschitz stability of controlled invariant subspaces [PDF]
Linear Algebra and its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gracia, Juan-Miguel +1 more
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Lipschitz shadowing and structural stability of flows [PDF]
Journal of Differential Equations, 2012 Since Anosov and Bowen established the shadowing property forty years ago, many attempts have been made and a number of partial results have been obtained to understand the association of this property with the similar concept of structural stability. In this paper the authors show that in the case of vector fields, (1) the Lipschitz shadowing property
Palmer, Kenneth J. +2 more
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Stability of eϵ-Lipschitz and co-Lipschitz maps in Gromov–Hausdorff topology [PDF]
Advances in Mathematics, 2012 AbstractA submetry is a metric analogue of a Riemannian submersion, and an eϵ-Lipschitz and co-Lipschitz map is a metric analogue of an ϵ-Riemannian submersion. The stability of submetries from Alexandrov spaces to Riemannian manifolds in the Gromov–Hausdorff topology can be viewed as a parametrized version of Perelman’s stability theorem in Alexandrov
Rong, Xiaochun, Xu, Shicheng
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Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]
, 2007 Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Yuan, C. +4 more
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On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces [PDF]
, 2008 In this paper the hp-version of the boundary element method is applied to the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. The underlying meshes are supposed to be quasi-uniform.
Bespalov, A, Heuer, N
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +7 more
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Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems [PDF]
Archives of Control Sciences, 2023 This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones.
Imed Basdouri, Souad Kasmi, Jean Lerbet
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Lipschitz-stability of controlled rough paths and rough differential equations [PDF]
, 2022 We provide an account for the existence and uniqueness of solutions to rough differential equations in infinite dimensions under the framework of controlled rough paths.
Boedihardjo, Horatio, Geng, Xi
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Stability and sensitivity analysis of stochastic programs with second order dominance constraints [PDF]
, 2010 In this paper we present stability and sensitivity analysis of a stochastic optimization problem with stochastic second order dominance constraints. We consider perturbation of the underlying probability measure in the space of regular measures equipped ...
Xu, Huifu, Liu, Yongchao
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Lipschitz Stability for Stochastic Programs with Complete Recourse [PDF]
SIAM Journal on Optimization, 1996 Summary: This paper investigates the stability of optimal solution sets to stochastic programs with complete recourse, where the underlying probability measure is understood as a parameter varying in some space of probability measures. \textit{A. Shapiro} [Math. Program. 67A, No.
Werner Römisch, Rüdiger Schultz
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