Results 81 to 90 of about 4,102,538 (267)

Neural Network‐Based Adaptive Super‐Twisting Control for Perturbed Nonlinear Systems: Lyapunov Design

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A newly developed robust control strategy based on an adaptive neural network (ANN) estimator performed in concert with adaptive super‐twisting (ASTW) control is presented. The proposed adaptive robust control algorithm is applied to a class of perturbed nonlinear systems and features a significantly decreased control gain with respect to the ...
Mohammad Javad Mirzaei   +3 more
wiley   +1 more source

The double higher Lipschitz classes and the double Fourier series(二元高阶Lipschitz函数类和二重Fourier级数)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2012
利用二元函数的(r,s)阶差分和二元连续模函数定义了二元周期函数的高阶Lipschitz函数类Λr, s(ω)和λr, s(ω),并且从函数Fourier级数的系数出发,在复数域内给出了函数属于二元周期函数类的充分条件,在实数域内给出了函数属于二元周期函数类的充要条件.
GUORu-qian(郭汝倩)   +2 more
doaj   +1 more source

Lengths of simple loops on surfaces with hyperbolic metrics

open access: yes, 2002
Given a compact orientable surface of negative Euler characteristic, there exists a natural pairing between the Teichmueuller space of the surface and the set of homotopy classes of simple loops and arcs.
Beardon   +8 more
core   +3 more sources

On the Moduli of Lipschitz Homology Classes

open access: yesThe Journal of Geometric Analysis
Abstract We define a type of modulus $$\operatorname {dMod}_p$$ dMod p for Lipschitz surfaces based on $$L^p$$
Ilmari Kangasniemi, Eden Prywes
openaire   +3 more sources

Recursive Feasibility of Nonlinear Stochastic Model Predictive Control With Gaussian Process Dynamics

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf   +2 more
wiley   +1 more source

On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series

open access: yesThe Scientific World Journal, 2013
Approximation theory is a very important field which has various applications in pure and applied mathematics. The present study deals with a new theorem on the approximation of functions of Lipschitz class by using Euler’s mean of conjugate series of ...
Jitendra Kumar Kushwaha
doaj   +1 more source

Two classes of metric spaces

open access: yesApplied General Topology, 2016
The class of metric spaces (X,d) known as small-determined spaces, introduced by Garrido and Jaramillo, are properly defined by means of some type of real-valued Lipschitz functions on X.
Isabel Garrido, Ana S. Meroño
doaj   +1 more source

Metric Spaces with Linear Extensions Preserving Lipschitz Condition

open access: yes, 2005
We study a new bi-Lipschitz invariant \lambda(M) of a metric space M; its finiteness means that Lipschitz functions on an arbitrary subset of M can be linearly extended to functions on M whose Lipschitz constants are enlarged by a factor controlled by ...
Brudnyi, A., Brudnyi, Yu.
core   +1 more source

Synthesizing Interacting Model‐Based Optimal Control and Model‐Free Learning Approaches for Nonlinear Systems

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye   +2 more
wiley   +1 more source

Generalized Differentiability of Continuous Functions

open access: yesFractal and Fractional, 2020
Many physical phenomena give rise to mathematical models in terms of fractal, non-differentiable functions. The paper introduces a broad generalization of the derivative in terms of the maximal modulus of continuity of the primitive function.
Dimiter Prodanov
doaj   +1 more source

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