Results 11 to 20 of about 3,785 (249)

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   +5 more sources

BORNOLOGIES AND LOCALLY LIPSCHITZ FUNCTIONS

open access: yesBulletin of the Australian Mathematical Society, 2014
AbstractLet$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\langle X,d \rangle $be a metric space.
Beer, Gerald, Garrido, M. I.
core   +4 more sources

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   +2 more sources

Locally lipschitz cooperative games

open access: yesJournal of Mathematical Economics, 1981
A locally Lipschitz cooperative generalized game is described by its coalition worth function v defined on the set [0, 1]n of generalized (or fuzzy) coalitions of n players. We assume that v is positively homogeneous and locally Lipschitz. We propose the Clarke's generalized gradient ∂v(cN) of v at the coalition cN=(1,…,1) of all players as a set of ...
Aubin, Jean-Pierre
openaire   +3 more sources

The oscillation of separately locally Lipschitz functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
We prove that a function which dened on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semicontinuous non-negative function which has a crosswise nowhere dense closure
V. H. Herasymchuk, O. V. Maslyuchenko
doaj   +2 more sources

Hybrid robust observers for locally Lipschitz systems [PDF]

open access: yes2009 European Control Conference (ECC), 2009
State observer design procedure is proposed for nonlinear locally Lipschitz systems. Possible presence of disturbances is taken into account. The solution is based on logic-based control approach applicable to nonlinear systems with bounded solutions.
Bobtsov, Alexey, Efimov, Denis
openaire   +3 more sources

Locally Lipschitz functions, cofinal completeness, and UC spaces

open access: yesJournal of Mathematical Analysis and Applications, 2015
Let X, d be a metric space. We find necessary and sufficient conditions on the space for the locally Lipschitz functions to coincide with each of two more restrictive classes of locally Lipschitz functions studied by several authors: the uniformly ...
Gerald Beer, M Isabel Garrido
exaly   +2 more sources

Asymptotic error distribution for the Euler scheme with locally Lipschitz coefficients [PDF]

open access: yesStochastic Processes and Their Applications, 2020
In traditional works on numerical schemes for solving stochastic differential equations (SDEs), the globally Lipschitz assumption is often assumed to ensure different types of convergence. In practice, this is often too strong a condition.
Jaime San Martín
exaly   +2 more sources

Semigroups of locally Lipschitz operators associated with semilinear evolution equations

open access: yesJournal of Mathematical Analysis and Applications, 2007
In this paper we introduce the notion of semigroups of locally Lipschitz operators which provide us with mild solutions to the Cauchy problem for semilinear evolution equations, and characterize such semigroups of locally Lipschitz operators. This notion
Yoshikazu Kobayashi
exaly   +2 more sources

The Rank Theorem for Locally Lipschitz Continuous Functions

open access: yesCanadian Mathematical Bulletin, 1988
AbstractThe Rank Theorem is proved for locally Lipschitz continuous functions f:Rn → Rp with generalized derivative of constant rank.
Butler, G. J.   +2 more
openaire   +3 more sources

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