Results 61 to 70 of about 4,339 (214)
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
In this paper, we study a specific stochastic differential equation depending on a parameter and obtain a representation of its probability density function in terms of Jacobi Functions.
William Margulies, Dean Zes
doaj
Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach +2 more
wiley +1 more source
ABSTRACT The safety verification of neural network (NN) controllers operating in uncertain environments characterized by unmodeled dynamics, nonlinearities, and time delays remains a fundamental challenge in robust control analysis. This article introduces a novel method, termed Keep‐Close, for analyzing the performance and robustness of uncertain ...
Abdelhafid Zenati, Nabil Aouf
wiley +1 more source
Ergodicity of a generalized Jacobi equation and applications
Consider a $1$-dimensional centered Gaussian process $W$ with $α$-Hölder continuous paths on the compact intervals of $\mathbb R_+$ ($α\in ]0,1[$) and $W_0 = 0$, and $X$ the local solution in rough paths sense of Jacobi's equation driven by the signal $W$.
openaire +4 more sources
On the generalized Jacobi equation [PDF]
Contribution to Mashhoon Festschrift (Special Issue of Gen. Rel. Grav.).
openaire +3 more sources
ABSTRACT Modern industrial agriculture is predicated largely on the production and utilization of chemical fertilizers. Although this approach has played an integral role in increasing food security in many parts of the world, the long‐term sustainability of this resource‐intensive approach is questionable.
Benjamin Wilde +12 more
wiley +1 more source
Jacobi-Maupertuis metric of Lienard type equations and Jacobi last multiplier
We present a construction of the Jacobi-Maupertuis (JM) principle for an equation of the Lienard type, $$ \ddot{x} + f(x) \dot{x}^2 + g(x) = 0, $$ using Jacobi's last multiplier.
Sumanto Chanda +2 more
doaj
Polynomial‐shaped electrodes for adaptive X‐ray optics
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg +2 more
wiley +1 more source
Establishing Shape Correspondences: A Survey
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source

