High precision motion control of parallel robots with imperfections and manufacturing tolerances [PDF]
, 2011 This work attempts to achieve precise motion control using parallel robots with manufacturing tolerances and inaccuracies by migrating the measurements from their joint space to task space in order to decrease control system’s sensitivity to any ...
Golubovic, Edin +3 more
core +1 more source
The Pantograph Equation in the Complex Plane
Journal of Mathematical Analysis and Applications, 1997 The subject matter is focused on two functional differential equations. First of them is the pantograph equation with involution on the complex plane: \[ y'(z)=\sum_{k=0}^{m-1} \left[ a_k y(\omega^k z) + b_k y(r \omega^k z) + c_k y'(r \omega^k z) \right] , \] where \(a_k, b_k, c_k \in \mathbb{C}, k= 0, 1, \dots , m-1,\) are given, \(r \in (0,1)\), and \
Derfel, G., Iserles, A.
openaire +1 more source
Large deviations for stochastic pantograph integrodifferential equation
Filomat, 2023 The pantograph equation, a specific type of delay differential equation is examined in this study in its stochastic form. Our main intention is to establish the Wentzell-Freidlin type large deviation estimates for stochastic pantograph integrodifferential equation.
Siva Ranjani +2 more
openaire +1 more source
Miniaturized modular manipulator design for high precision assembly and manipulation tasks [PDF]
, 2012 In this paper, design and control issues for the development of miniaturized manipulators which are aimed to be used in high precision assembly and manipulation tasks are presented.
Kunt, Emrah Deniz +3 more
core +1 more source
Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations [PDF]
Advances in Mathematical Physics, 2013 We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collocation method, which shows that the error of approximate solution decays exponentially
Yin Yang, Yunqing Huang
openaire +3 more sources
Dynamic Characteristics Analysis of Double Pantograph Catenary of AC Rigid Catenary System
IEEE Access, 2023 The Euler-Bernoulli beam theory is used to establish the vibration differential equation of the rigid catenary, the cantilever support device is equivalent to the spring, and the pantograph is equivalent to the three mass block model.
Ying Wang +4 more
doaj +1 more source
A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions
Journal of Mathematics, 2022 In this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations.
Hamid Lmou, Khalid Hilal, Ahmed Kajouni
doaj +1 more source
A new numerical method to solve pantograph delay differential equations with convergence analysis
Advances in Difference Equations, 2021 The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations.
H. Jafari +2 more
doaj +1 more source
Mathematics, 2023 The delay differential equations are of great importance in real-life phenomena. A special type of these equations is the Pantograph delay differential equation.
Abdulrahman B. Albidah +3 more
doaj +1 more source
The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields [PDF]
, 2012 We consider an "elastic" version of the statistical mechanical monomer-dimer problem on the n-dimensional integer lattice. Our setting includes the classical "rigid" formulation as a special case and extends it by allowing each dimer to consist of ...
A. N. Shiryaev +46 more
core +1 more source