Results 1 to 10 of about 1,752 (116)

Static anti-windup compensator design for locally Lipschitz systems under input and output delays. [PDF]

open access: yesPLoS 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
doaj   +3 more sources

Convergence rates of theta-method for NSDDEs under non-globally Lipschitz continuous coefficients [PDF]

open access: yesBulletin 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
doaj   +1 more source

Lipschitz Chain Approximation of Metric Integral Currents

open access: yesAnalysis 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
doaj   +1 more source

On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces

open access: yesAbstract 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
doaj   +1 more source

An extension of the quasi-Newton method for minimizing locally Lipschitz functions [PDF]

open access: yesIranian 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
doaj   +1 more source

Periodic solutions for a differential inclusion problem involving the p(t)-Laplacian

open access: yesAdvances 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
doaj   +1 more source

Lq-Estimates for stationary Stokes system with coefficients measurable in one direction [PDF]

open access: yesBulletin 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
doaj   +1 more source

Results on existence of solutions in nonlocal partial functional integrodifferential equations with finite delay in nondense domain

open access: yesAlexandria Engineering Journal, 2023
In this work, to show the existence and uniqueness solution of functional integrodifferential equation with nonlocal condition and finite delay function.
Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian

open access: yesThe Scientific World Journal, 2013
A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions.
Qing-Mei Zhou
doaj   +1 more source

Nonsmooth analysis and optimization on partially ordered vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
doaj   +1 more source

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