Results 21 to 30 of about 3,075 (201)
MATCHING OF EULER-LAGRANGE AND HAMILTONIAN SYSTEMS
IFAC Proceedings Volumes, 2002 This paper discusses the matching conditions as introduced in two recently developed methods for stabilization of underactuated mechanical systems. It is shown that the controlled Lagrangians method is naturally embedded in the IDA-PBC method. The integrability of the latter method is studied in general.
Blankenstein, G. +2 more
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Static group-bipartite consensus in networked robot systems with integral action
International Journal of Advanced Robotic Systems, 2023 With the increasing complexity of modern industry, the traditional single-target control of swarm robots can no longer meet application requirements. Hence, this article addresses compound task control for swarm robot systems, where the control aim and ...
Zhaoyan Wang +6 more
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Cooperative Target Tracking by Multiagent Camera Sensor Networks via Gaussian Process
IEEE Access, 2022 In this paper, we present learning-based robust cooperative control for camera sensor networks. The dynamics of each camera agent with the pan and tilt mechanism is modeled by the Euler-Lagrange equation.
Takashi Adachi +2 more
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Higher Order Hamiltonian Systems with Generalized Legendre Transformation
Mathematics, 2018 The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found.
Dana Smetanová
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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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Mathematics, 2019 The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
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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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Numerical aspects of two coupled harmonic oscillators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this study an interesting symmetric linear system is considered. As a first step we obtain the Lagrangian of the system. Secondly, we derive the classical Euler- Lagrange equations of the system.
Asad Jihad, Florea Olivia
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On networked Euler–Lagrangian systems consensus under switching topologies
The Journal of Engineering, 2021 This paper studies the consensus of multiple Euler–Lagrangian systems with dynamic uncertainties and the challenges to be solved lie on weak interaction, time‐varying interaction and parametric uncertainties.
Kun Liu +3 more
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Fixed-time synchronization of networked uncertain Euler–Lagrange systems
Automatica, 2022 This paper considers the fixed-time control problem of a multi-agent system composed of a class of Euler-Lagrange dynamics with parametric uncertainty and a dynamic leader under a directed communication network. A distributed fixed-time observer is first proposed to estimate the desired trajectory and then a fixed-time controller is constructed by ...
Dong, Yi, Chen, Zhiyong
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