Results 21 to 30 of about 2,976 (212)
Energies, 2020 The pantograph catenary system plays an important role in the power performance of electric mining vehicles. A pantograph catenary system combining both a pantograph and a catenary is one of the most promising solutions.
Yinping Li, Tianxu Jin, Li Liu, Kun Yuan
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On Pantograph Integro-Differential Equations
Journal of Integral Equations and Applications, 1994 The authors study the initial value problem for pantograph integro- differential equations of the form \[ y'(t) = a y(t) + \int^ 1_ 0 y(qt) d \mu (q) + \int^ 1_ 0 y'(qt) d \nu (q),\;t > 0, \quad y(0) = y_ 0, \tag{1} \] where \(a\) is a complex constant, \(\mu (q)\) and \(\nu (q)\) are complex-valued functions of bounded variation on \([0,1]\). Denote \(
Iserles, Arieh, Liu, Yunkang
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The stability analysis of a discretized pantograph equation [PDF]
Mathematica Bohemica, 2011 Summary: The paper deals with a difference equation arising from the scalar pantograph equation via the backward Euler discretization. A case when the solution tends to zero but after reaching a certain index it loses this tendency is discussed. We analyse this problem and estimate the value of such an index.
Jánský, J., Kundrát, Petr
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Aeroacoustic Optimization Design of the Middle and Upper Part of Pantograph
Applied Sciences, 2022 The pantograph is the main noise source of high-speed trains, of which the middle and upper parts of the pantograph account for about 50% of the whole noise energy.
Jing Guo +5 more
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IEEE Access, 2021 The aim of this study is to design a layer structure of feed-forward artificial neural networks using the Morlet wavelet activation function for solving a class of pantograph differential Lane-Emden models. The Lane-Emden pantograph differential equation
Kashif Nisar +7 more
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Solving a Quadratic Riccati Differential Equation, Multi-Pantograph Delay Differential Equations, and Optimal Control Systems with Pantograph Delays [PDF]
Axioms, 2020 An effective algorithm for solving quadratic Riccati differential equation (QRDE), multipantograph delay differential equations (MPDDEs), and optimal control systems (OCSs) with pantograph delays is presented in this paper. This technique is based on Genocchi polynomials (GPs). The properties of Genocchi polynomials are stated, and operational matrices
Fateme Ghomanjani, Stanford Shateyi
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Boundary Value Problems, 2023 In this present manuscript, by applying fractional quantum calculus, we study a nonlinear fractional pantograph q-difference equation with nonlocal boundary conditions.
Adel Lachouri +2 more
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A Taylor method for numerical solution of generalized pantograph equations with linear functional argument [PDF]
, 2006 This paper is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument.
Abernethy, B, Farrow, Damian, Gorman, AD
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Delay compensation for nonlinear teleoperators using predictor observers [PDF]
, 2010 This paper presents a delay compensation technique for nonlinear teleoperators by developing a predictor type sliding mode observer (SMO) that estimates future states of the slave operator. Predicted states are then used in control formulation.
Bogosyan, Seta +9 more
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Stability of hybrid pantograph stochastic functional differential equations [PDF]
Systems & Control Letters, 2022 In this paper, we study a new type of stochastic functional differential equations which is called hybrid pantograph stochastic functional differential equations. We investigate several moment properties and sample properties of the solutions to the equations by using the method of multiple Lyapunov functions, such as the moment exponential stability ...
Wu, Hao, Hu, Junhao, Yuan, Chenggui
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