Conserved quantities of Euler-Lagrange system via complex Lagrangian [PDF]
Heliyon, 2023 In this work we use complex Lagrangian technique to obtain Noether-like operators and the associated conserved quantities of an Euler-Lagrange (EL) system.
M. Umar Farooq, Anum Naseem, C. Wafo Soh
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A Finite-Time Sliding Mode Control Approach for Constrained Euler–Lagrange System [PDF]
Mathematics, 2023 This paper investigates a general control strategy to track the reference trajectory for the constrained Euler–Lagrange system with model uncertainties and unknown external disturbances.
Guhao Sun, Qingshuang Zeng
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Sampled-data velocity-free consensus of Multiple Euler-Lagrange systems under irregular communication delays. [PDF]
PLoS ONEThis paper addresses the challenging problem of achieving sampled-data, velocity-free consensus for multiple Euler-Lagrange systems under irregular communication delays.
Yilin Wang, Jiahao Dai, Pengfei Zhang
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Non-Transformed Prescribing Performance Function and Finite-Time RISE-Based Tracking Control for Euler-Lagrange Systems [PDF]
IEEE Access, 2020 This study addressed the issues of providing an enhanced prescribed performance control technique and a finite-time convergence of the conventional robust integral of the sign of the error (RISE) control method and for Euler-Lagrange systems. An improved
Seongik Han
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Distributed Prescribed Performance Formation Tracking for Unknown Euler-Lagrange Systems Under Input Saturation. [PDF]
Sensors (Basel)Gkesoulis AK +3 more
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Leader-Following Consensus of Multiple Euler-Lagrange Systems Under Deception Attacks
IEEE Access, 2021 In this paper, the leader-following consensus problem of a multi-Euler-Lagrange system is studied under deception attacks, where attackers can inject the false data into the data being exchanged over the communication network between two Euler-Lagrange ...
Lizhang Wang +3 more
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IEEE Access, 2022 Controlling the network of underactuated Euler–Lagrange (EL) systems is challenging because of their coupled inertia matrices and time-variant control input matrices. We present generalized multi-coordinates transformation that renders the network
Babak Salamat, Gerhard Elsbacher
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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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