Results 91 to 100 of about 130,034 (274)

Applying Dynamics/Cost Parameter Continuation to the Optimal Guidance of Variable‐Speed Unicycle

open access: yesOptimal Control Applications and Methods, EarlyView.
(a) Classical parameter continuation method diverges. (b) Dynamics/cost parameter continuation method converges. ABSTRACT The problem of a variable‐speed unicycle guidance to the stationary target is considered. The vehicle should be guided to the origin while minimizing the energy loss due to the induced drag.
Gleb Merkulov   +2 more
wiley   +1 more source

Representation Formula for Solutions of Eikonal Type Equations

open access: yesNonlinear Analysis, 2001
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for ...
Gintautas Gudynas
doaj   +1 more source

Cauchy-Green type formulae in Clifford analysis [PDF]

open access: yesTransactions of the American Mathematical Society, 1995
A Cauchy integral formula is constructed for solutions to the polynomial Dirac equation(Dk+∑m=0k−1bmDm)f=0({D^k} + \sum \nolimits _{m = 0}^{k - 1} {{b_m}{D^m})f = 0}, where eachbm{b_m}is a complex number,DDis the Dirac operator inRn{R^n}, andffis defined on a domain inRn^{{R^n}}and takes values in a complex Clifford algebra.
openaire   +2 more sources

Data assimilation with extremum Monte Carlo methods

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
This study presents the extremum Monte Carlo filter as a data assimilation method and, in particular, a variant of the variational approach (three‐ and four‐dimensional variational), where the state estimates are obtained by solving an optimization problem numerically over a space of prediction functions, instead of the state space itself.
Karim Moussa, Siem Jan Koopman
wiley   +1 more source

Cauchy-Lipschitz theory for fractional multi-order dynamics -- State-transition matrices, Duhamel formulas and duality theorems

open access: yes, 2017
The aim of the present paper is to contribute to the development of the study of Cauchy problems involving Riemann-Liouville and Caputo fractional derivatives.
Bourdin, Loïc
core  

Cauchy non-integral formulas

open access: yes, 2012
We study certain generalized Cauchy integral formulas for gradients of solutions to second order divergence form elliptic systems, which appeared in recent work by P. Auscher and A. Ros n. These are constructed through functional calculus and are in general beyond the scope of singular integrals.
openaire   +3 more sources

Residual Cauchy-Type Formula on Riemann Surfaces [PDF]

open access: yesThe Journal of Geometric Analysis, 2017
We construct a Cauchy type formula on open subdomains of Riemann ...
openaire   +2 more sources

Loss Behavior in Supervised Learning With Entangled States

open access: yesAdvanced Quantum Technologies, EarlyView.
Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl   +4 more
wiley   +1 more source

Designing High‐Strength and High‐Ductility Cast Mg–Zn–Al–Mn–Sn Alloys via τ‐Mg32(Al,Zn)49 Phase Tuning and Twin Boundary Toughening Optimisation

open access: yesRare Metals, EarlyView.
ABSTRACT Achieving a simultaneous enhancement of strength and ductility remains a critical bottleneck for the large‐scale and cost‐effective engineering application of magnesium alloys. In this work, guided by first‐principles calculations, we tailored the τ‐Mg32(Al,Zn)49 phase and optimised twin boundary, thereby designing and successfully ...
Yun‐Xuan Zhou   +8 more
wiley   +1 more source

Generalized Hyers-Ulam Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces

open access: yesFixed Point Theory and Applications, 2011
We prove the generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation in non-Archimedean spaces.
Cho YeolJe, Najati Abbas
doaj  

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