Results 41 to 50 of about 353 (182)
Jixie qiangdu, 2023 Staddle monorail use rigid catenary, which often produce strong rigid vibrations and violent fluctuations in contact forces affecting pantograph receiving quality and service life during operation.
CHEN Lin, XIONG Jun, WANG ShangQing
doaj
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper studies the asymptotic growth and decay properties of solutions of the stochastic pantograph equation with multiplicative noise. We give sufficient conditions on the parameters for solutions to grow at a polynomial rate in $p$-th mean and in ...
John Appleby, Evelyn Buckwar
doaj +1 more source
Numerical Approach for Solving Fractional Pantograph Equation
International Journal of Computer Applications, 2015 this article, we have investigate a Taylor collocation method, which is based on collocation method for solving fractional pantograph equation. This method is based on first taking the truncated fractional Taylor expansions of the solution function in the mathematical model and then substituting their matrix forms into the equation.
Mustafa Gülsu +2 more
openaire +1 more source
IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.This study proposes an NSGA‐II framework enhanced with struct‐based encoding for bi‐objective optimization of heavy‐haul railway vertical alignment (construction cost and energy consumption), which requires no preset vertical points of intersection (VPIs) and inherently meets most constraints.
Shengda Zhuo +4 more
wiley +1 more source
Continuous Runge–Kutta schemes for pantograph type delay differential equations
Partial Differential Equations in Applied MathematicsPantograph differential equations are important types of delay differential equations. Using continuous mono-implicit RK schemes, we propose a numerical method for numerically approximating pantograph delay differential equations that are reliable and ...
Fathalla A. Rihan
doaj +1 more source
IET Power Electronics, Volume 19, Issue 1, January/December 2026.This article presents an active power filtering control method to suppress ripple power in the DC‐link of railway traction systems, including both the inherent second‐order ripple of single‐phase rectifiers and additional frequency ripples introduced by the pantograph–catenary arc.
Wei Wang +5 more
wiley +1 more source
Engineering Applications of Computational Fluid MechanicsIncreasing the speed of a pantograph deteriorates its aerodynamic performance and aggravates the problem of flow-induced vibration, which is not conducive to the stability of the pantograph – catenary system (PCS). Currently, commercial high-speed trains
Zhuojun Li +6 more
doaj +1 more source
AIMS MathematicsIn this research, we investigated the Riemann-Liouville fractional-order pantograph differential equation constrained by nonlocal and weighted pantograph integral constraints. We presented novel sufficient conditions for the uniqueness of the solution.
Ahmed M. A. El-Sayed +3 more
openaire +2 more sources
International Journal of Robust and Nonlinear Control, Volume 35, Issue 13, Page 5685-5704, 10 September 2025.ABSTRACT This work addresses the problem of developing a nonfragile sliding mode observer for fractional‐order complex networked systems (FO‐CNS) under stochastic network attacks. The proposed approach employs a combination of event‐triggered techniques. First, a nonfragile fractional‐order state observer is developed, enabling the design of a suitable
Xin Meng +2 more
wiley +1 more source
Journal of Inequalities and Applications, 2022 We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle.
Mohamed Houas +3 more
doaj +1 more source