Results 31 to 40 of about 1,077,728 (350)
Stability of singular jump-linear systems with a large state space : a two-time-scale approach [PDF]
, 2012 This paper considers singular systems that involve both continuous dynamics and discrete events with the coefficients being modulated by a continuous-time Markov chain. The underlying systems have two distinct characteristics.
Yuan, Chenggui +4 more
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Singular Perturbation on a Subdomain
Journal of Mathematical Analysis and Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aguilar, G, Lisbona, F
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On the Singular Perturbations for Fractional Differential Equation
The Scientific World Journal, 2014 The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the
Abdon Atangana
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Singular perturbations and singular arcs. I [PDF]
IEEE Transactions on Automatic Control, 1975 Singular perturbation theory is applied to obtain the asymptotic solution for the nearly singular optimal control of a constant linear system on a finite time interval In the limit as the control cost is reduced to zero, the initial control is found to have an impulse-like behavior, while the outer solution agrees asymptotically with the familiar ...
O'Malley, Robert E. jun. +1 more
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Aircraft longitudinal decoupling based on a singular perturbation approach
Advances in Mechanical Engineering, 2017 Aircraft longitudinal dynamics is approximated by short-time mode and phugoid mode from experience. In this article, a rigorous mathematical method is provided based on the singular perturbation theory to deal with this decoupling problem.
Shangqiu Shan, Zhongxi Hou, Wenkai Wang
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Journal of Applied Mathematics, 2012 This paper extends the continuous-time waveform relaxation method to singular perturbation initial value problems. The sufficient conditions for convergence of continuous-time waveform relaxation methods for singular perturbation initial value problems ...
Yongxiang Zhao, Li Li
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Parametric Borel summability for some semilinear system of partial differential equations [PDF]
Opuscula Mathematica, 2015 In this paper we study the Borel summability of formal solutions with a parameter of first order semilinear system of partial differential equations with \(n\) independent variables. In [Singular perturbation of linear systems with a regular singularity,
Hiroshi Yamazawa, Masafumi Yoshino
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Singular Perturbations in Viscoelasticity
Rocky Mountain Journal of Mathematics, 1993 We study the singular perturbation for a class of partial integro- differential equations in viscoelasticity of the form \[ \rho u^ \rho_{tt} (t,x) = Eu^ \rho_{xx} (t,x) + \int ^ t _{-\infty} a (t-s) u^ \rho_{xx} (s,x) ds + \rho g (t,x) + f (x),\tag{a} \] when the density \(\rho\) of the material goes to zero. We will prove that when \(\rho \to 0\) the
Grimmer, Ronald, Liu, Hetao
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Absolutely stable difference scheme for a general class of singular perturbation problems
Advances in Difference Equations, 2020 This paper presents an absolutely stable noniterative difference scheme for solving a general class of singular perturbation problems having left, right, internal, or twin boundary layers. The original two-point second-order singular perturbation problem
Essam R. El-Zahar +5 more
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The entry-exit function and geometric singular perturbation theory [PDF]
, 2015 For small $\epsilon>0$, the system $\dot x = \epsilon$, $\dot z = h(x,z,\epsilon)z$, with $h(x,0,0) 0$ for $x>0$, admits solutions that approach the $x$-axis while $x 0$. The limiting attraction and repulsion points are given by the well-known entry-exit
P. Maesschalck, S. Schecter
semanticscholar +1 more source