Results 91 to 100 of about 7,649 (300)
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
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Stability in distribution for uncertain delay differential equations based on new Lipschitz condition. [PDF]
J Ambient Intell Humaniz Comput, 2022 Gao Y, Jia L.
europepmc +1 more source
Approximation of analytic functions satisfying a Lipschitz condition. [PDF]
Michigan Mathematical Journal, 1978 Let \(\lambda_\alpha\), \(0 0\) there exists a function \(f_\varepsilon\in \lambda_\alpha\) such that (i) the inner factors of \(f\) and \(f_\varepsilon\) coincide, (ii) \(\Vert f - f_\varepsilon\Vert < \varepsilon\), (iii) \(\vert f_\varepsilon(z)\vert = O(\operatorname{dist}^M(z,E))\) as \(\operatorname{dist}(z,E)\to 0\). The proof is fairly long and
openaire +2 more sources
Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
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Letter Written by George Lipschitz to the Bryant College Service Club Dated December 29, 1942
, 1942 [Transcription begins] 54th Medical Battalion Camp Edwards, Mass. December 29, 1942. Dear Friends, Thanks so much for the Christmas gift. Honestly, it did help to make my holiday complete. The package arrived in good condition on Christmas Day.
Lipschitz, George
core
Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings
, 2010 We describe the notion of a weakly Lipschitz mapping on a Cq stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms.
Czapla, Małgorzata
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Vertical Deformation Mapping: Steering Optimiser Toward Flat Minima
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Standard deep learning optimisation is typically conducted on shape‐fixed loss surfaces. However, shape‐fixed loss surfaces may impede optimisers from reaching flat regions closely associated with strong generalisation. In this work, we propose a new paradigm named deformation mapping to deform the loss surface during optimisation.
Liangming Chen +4 more
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A measure theoretic approach to Lipschitz regularity and its Haar type wavelet analysis
Mathematical Modelling and AnalysisThe $\alpha$−Lipschitz character of a time series or an image summarizes, in the single parameter α, some persistence properties of the original function modeling the given signal.
Hugo Aimar, Juliana Boasso
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Sensitivity analysis for HJB equations with an application to a coupled backward-forward system
, 2013 In this paper, we analyse the dependence of the solution of Hamilton-Jacobi-Bellman equations on a functional parameter. This sensitivity analysis not only has the interest on its own, but also is important for the mean field games methodology, namely for
Kolokoltsov, Vassili, Yang, Wei
core
Convergence behaviour of inexact Newton methods under weak Lipschitz condition
, 2006 Under weak Lipschitz condition, local convergence properties of inexact Newton methods and Newton-like methods for systems of nonlinear equations are established in an arbitrary vector norm.
Chen, Jinhai, Li, Weiguo
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