Results 11 to 20 of about 26,784 (274)
Differential-integral Euler–Lagrange equations [PDF]
Iranian Journal of Numerical Analysis and OptimizationWe study the calculus of variations problem in the presence of a system of differential-integral (D-I) equations. In order to identify the necessary optimality conditions for this problem, we derive the so-called D-I Euler–Lagrange equations.
Mohammedd Shehata
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Safe-by-design control for Euler–Lagrange systems [PDF]
Automatica, 2022 For accompanying code see: https://github.com/shawcortez/safe-control-euler ...
Wenceslao Shaw-Cortez +1 more
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A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces [PDF]
Abstract and Applied Analysis, 2011 We prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.
M. Eshaghi Gordji +3 more
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Nonholonomic systems as restricted Euler-Lagrange systems [PDF]
, 2010 We recall the notion of a nonholonomic system by means of an example of classical mechanics, namely the vertical rolling disk. For a general mechanical system with nonholonomic constraints, we present a Lagrangian formulation of the nonholonomic and vakonomic dynamics using the method of anholonomic frames.
Mestdag, Tom, Crampin, Michael
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On the variational principle in the unfolded dynamics
Physics Letters B, 2022 The interplay between off-shell and on-shell unfolded systems is analyzed. The formulation of invariant constraints that put an off-shell system on shell is developed by adding new variables and derivation in the target space, that extends the original Q-
A.A. Tarusov, M.A. Vasiliev
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Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations
Journal of Function Spaces, 2022 The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi +2 more
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Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions
IEEE Access, 2021 This paper is concerned with the sampled-data consensus of networked Euler-Lagrange systems. The Euler-Lagrange system has enormous advantages in analyzing and designing dynamical systems.
Yilin Wang +3 more
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IEEE Access, 2023 This paper studies the sampled-data second-order consensus of multiple Euler-Lagrange systems without knowing neighbors’ velocities. The second-order feedback control method of the Euler-Lagrange system naturally excludes the infinities in the ...
Yilin Wang +3 more
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STATE TRANSFORMATION FOR EULER-LAGRANGE SYSTEMS
Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics, 2005 Mohamed Mabrouk, Jean-Claude Vivalda
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A new and general fractional Lagrangian approach: A capacitor microphone case study
Results in Physics, 2021 In this study, a new and general fractional formulation is presented to investigate the complex behaviors of a capacitor microphone dynamical system.
A. Jajarmi +4 more
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