Results 91 to 100 of about 78,450 (174)

Simultaneous Inversion for Underactuated Mechanical Systems with Servo‐Constraints

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements [PDF]

Radioengineering, 2016
It is well known that the equation of motion of a system can be set up using the Lagrangian and the dissipation function, which describe the conservative and dissipative parts of the system.
Z. Biolek, D. Biolek, V. Biolkova
doaj  

Optimal control of nonsmooth system governed by quasi-linear elliptic equations

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper, we discuss a class of optimal control problems of nonsmooth systems governed by quasi-linear elliptic partial differential equations, give the existence of the problem.
Gong Liutang, Fei Pusheng
doaj   +1 more source

Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober‐Blöbaum, Rodrigo T. Sato Martin de Almagro   +4 more
wiley   +1 more source

Phase Space of Rolling Solutions of the Tippe Top

Symmetry, Integrability and Geometry: Methods and Applications, 2007
Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime both in the vector notation and in the Euler angle variables when they admit ...
S. Torkel Glad, Daniel Petersson, Stefan Rauch-Wojciechowski   +2 more
doaj  

Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6664-6679, 15 May 2026.
ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros, Alexei Cheviakov, Raymond J. Spiteri   +2 more
wiley   +1 more source

Fractional Euler–Lagrange Equations Under Periodic and Antiperiodic Boundary Conditions

Fractal and Fractional
In this work, we derive necessary optimality conditions for a class of fractional variational problems involving Caputo-type derivatives. We consider functionals defined on appropriate spaces of absolutely continuous functions and study both periodic and
Ricardo Almeida
doaj   +1 more source

Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p‐Kirchhoff Equation

Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.
ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa, Romulo Diaz Carlos, El‐Houari Hamza   +2 more
wiley   +1 more source

On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations

International Journal of Mathematics and Mathematical Sciences, 2007
In this paper, the mixed-type linear and Euler-Lagrange-Rassias functional equations introduced by J. M. Rassias is generalized to the following n-dimensional functional equation: f(∑i=1nxi)+(n−2)∑i=1nf(xi)=∑1≤i2.
Paisan Nakmahachalasint
doaj   +1 more source

Irreversibility, least action principle and causality

, 2008
The least action principle, through its variational formulation, possesses a finalist aspect. It explicitly appears in the fractional calculus framework, where Euler-Lagrange equations obtained so far violate the causality principle.
Cresson, Jacky, Inizan, Pierre
core   +1 more source