Static anti-windup compensator design for locally Lipschitz systems under input and output delays. [PDF]
PLoS ONE, 2023 This paper proposes a static anti-windup compensator (AWC) design methodology for the locally Lipschitz nonlinear systems, containing time-varying interval delays in input and output of the system in the presence of actuator saturation. Static AWC design
Muhammad Jazib Hameed +5 more
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Lq-Estimates for stationary Stokes system with coefficients measurable in one direction [PDF]
Bulletin of Mathematical Sciences, 2019 We study the stationary Stokes system with variable coefficients in the whole space, a half space, and on bounded Lipschitz domains. In the whole and half spaces, we obtain a priori Ẇq1-estimates for any q ∈ [2,∞) when the coefficients are merely ...
Hongjie Dong, Doyoon Kim
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The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto\mbox{div} \Big(\frac{\nabla u}{\sqrt{1 ...
C. Bereanu +2 more
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Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings [PDF]
Annales Polonici Mathematici, 2009 In this paper we describe the notion of a weak lipschitzianity of a mapping on a $C^{q}$ stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz ...
Czapla, Malgorzata
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Some notes on commutators of the fractional maximal function on variable Lebesgue spaces
Journal of Inequalities and Applications, 2019 Let ...
Pu Zhang, Zengyan Si, Jianglong Wu
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Convergence rates of theta-method for NSDDEs under non-globally Lipschitz continuous coefficients [PDF]
Bulletin of Mathematical Sciences, 2019 This paper is concerned with strong convergence and almost sure convergence for neutral stochastic differential delay equations under non-globally Lipschitz continuous coefficients.
Li Tan, Chenggui Yuan
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Lipschitz Chain Approximation of Metric Integral Currents
Analysis and Geometry in Metric Spaces, 2022 Every integral current in a locally compact metric space X can be approximated by a Lipschitz chain with respect to the normal mass, provided that Lipschitz maps into X can be extended slightly.
Goldhirsch Tommaso
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Abstract and Applied Analysis, 2022 In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla +2 more
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An extension of the quasi-Newton method for minimizing locally Lipschitz functions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 We present a method to minimize locally Lipschitz functions. At first, a local quadratic model is developed to approximate a locally Lipschitz function. This model is constructed by using the ϵ-subdifferential.
Z. Akbari
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Periodic solutions for a differential inclusion problem involving the p(t)-Laplacian
Advances in Nonlinear Analysis, 2020 In the present paper, we consider the nonlinear periodic systems involving variable exponent driven by p(t)-Laplacian with a locally Lipschitz nonlinearity.
Chen Peng, Tang Xianhua
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