Simultaneous Inversion for Underactuated Mechanical Systems with Servo‐Constraints
ABSTRACT The dynamic inversion of underactuated mechanical systems can be formulated in the servo‐constraint framework using a set of differential‐algebraic equations (DAEs). In case of a high differentiation index, the inversion‐based feedforward control design poses significant challenges.
Tengman Wang
wiley +1 more source
Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems
ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik +4 more
wiley +1 more source
ABSTRACT In undergraduate engineering education, foundational courses in engineering mechanics pose considerable challenges for students due to the abstract and analytical nature of the subject matter. To enhance learning outcomes and provide immediate, formative feedback, automated STACK assignments incorporating the MECLIB library for parameterized ...
Ulrich Zwiers +2 more
wiley +1 more source
Generalized Euler-Lagrange Equations for Variational Problems with Scale Derivatives
We obtain several Euler-Lagrange equations for variational functionals defined on a set of Hölder curves. The cases when the Lagrangian contains multiple scale derivatives, depends on a parameter, or contains higher-order scale derivatives are considered.
Almeida, R., Torres, D.F.M.
core +1 more source
Existence of a weak solution for fractional Euler–Lagrange equations
International audienceWe derive sufficient conditions ensuring the existence of a weak solution u for fractional Euler-Lagrange equations of the type: ∂L/∂x (u,Dα−[u],t) + Dα+[ ∂L/∂y (u,Dα−[u],t) ] = 0, on a real interval [a, b] and where Dα− and Dα+ are
Bourdin, Loïc
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Model Ambiguity versus Model Misspecification in Dynamic Portfolio Choice
ABSTRACT We study aversion to model ambiguity and misspecification in dynamic portfolio choice. Risk‐averse investors (relative risk aversion γ>1$\gamma > 1$) fear return persistence, while risk‐tolerant investors (0<γ<1$0<\gamma <1$) fear mean reversion, when confronting model misspecification concerns of identically and independently distributed (IID)
PASCAL J. MAENHOUT +2 more
wiley +1 more source
Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone +2 more
wiley +1 more source
Parametric Model Order Reduction by Box Clustering With Applications in Mechatronic Systems
ABSTRACT High temperatures and structural deformations can compromise the functionality and reliability of new components for mechatronic systems. Therefore, high‐fidelity simulations (HFS) are employed during the design process, as they enable a detailed analysis of the thermal and structural behavior of the system.
Juan Angelo Vargas‐Fajardo +4 more
wiley +1 more source
Equilibrium Shapes with Stress Localisation for Inextensible Elastic Mobius and Other Strips
We formulate the problem of finding equilibrium shapes of a thin inextensible elastic strip, developing further our previous work on the Möbius strip. By using the isometric nature of the deformation we reduce the variational problem to a second-order ...
van der Heijden, GHM, Starostin, EL
core
Invariant Euler-Lagrange Equations for Variational Problems Defined over Framed Curves in Two and Three Dimensions [PDF]
University of Minnesota Ph.D. dissertation. June 2019. Major: Mathematics. Advisor: Peter Olver. 1 computer file (PDF); iii, 74 pages.This thesis focuses on deriving and understanding the invariant Euler-Lagrange equations for variational problems ...
Broomfield, James Robert Patrick
core

