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Lipschitz stability with perturbing liapunov functionals [PDF]
Applied Mathematics Letters, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Soliman
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Multivariate Lipschitz Analysis of the Stability of Neural Networks
Frontiers in Signal Processing, 2022 The stability of neural networks with respect to adversarial perturbations has been extensively studied. One of the main strategies consist of quantifying the Lipschitz regularity of neural networks.
Kavya Gupta +5 more
doaj +4 more sources
Lipschitz Stability of Travel Time Data. [PDF]
J Geom AnalAbstract We prove that the reconstruction of a certain type of length spaces from their travel time data on a closed subset is Lipschitz stable. The travel time data is the set of distance functions from the entire space, measured on the chosen closed subset. The case of a Riemannian manifold with boundary with the boundary as the measurement
Ilmavirta J +4 more
europepmc +6 more sources
Lipschitz stability for the Hunter–Saxton equation [PDF]
Journal of Hyperbolic Differential Equations, 2022 We study Lipschitz stability in time for [Formula: see text]-dissipative solutions to the Hunter–Saxton equation, where [Formula: see text] is a constant. We define metrics in both Lagrangian and Eulerian coordinates, and establish Lipschitz stability for those metrics.
Grunert, Katrin, Tandy, Matthew
openaire +5 more sources
Optimal Stability of Reconstruction of Plane Lipschitz Cracks [PDF]
SIAM Journal on Mathematical Analysis, 2005 Summary: We establish an optimal stability estimate for the determination of a finite number of Lipschitz perfectly insulating cracks inside a planar conductor by performing two suitably chosen electrostatic boundary measurements.
Luca Rondi
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Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems [PDF]
Mathematics, 2016 This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback, which renders the non ...
Nawel Khelil, Martin J.-D. Otis
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Lipschitz Stability in Time for Riemann–Liouville Fractional Differential Equations
Fractal and Fractional, 2021 A system of nonlinear fractional differential equations with the Riemann–Liouville fractional derivative is considered. Lipschitz stability in time for the studied equations is defined and studied.
Snezhana Hristova +2 more
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Lipschitz stability for degenerate parabolic systems
Electronic Journal of Differential Equations, 2014 In this article, we study an inverse problem for weakly degenerate coupled parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of
Idriss Boutaayamou +2 more
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Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications
Mathematics, 2023 For generalized ordinary differential equations, sufficient criteria are given for the Lipschitz stability in terms of two measures of the trivial solutions.
Yingying Wang, Zhinan Xia
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IET Control Theory & Applications, 2023 In this study, the stability of a sampled‐value control system with time‐ and state‐dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled‐value controller, the local stability on a compact set is ...
Kazuki Umemoto +2 more
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