Results 11 to 20 of about 16,736 (301)
Rank-one perturbation bounds for singular values of arbitrary matrices [PDF]
Journal of Inequalities and Applications, 2019 Rank-one perturbation of arbitrary matrices has many practical applications. In this paper, based on the relationship between the singular values and the eigenvalues, we discuss singular value variations and present two-side bounds of the singular values
Lei Zhu, Xiaofei Peng, Hao Liu
doaj +2 more sources
Singular viscoelastic perturbation to soft lubrication [PDF]
Physical Review ResearchSoft lubrication has been shown to drastically affect the mobility of an object immersed in a viscous fluid in the vicinity of a purely elastic wall. In this theoretical article, we develop a minimal model incorporating viscoelasticity, carrying out a ...
Bharti +7 more
doaj +5 more sources
Perturbation bounds for eigenvalues of diagonalizable matrices and singular values [PDF]
Journal of Inequalities and Applications, 2016 Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.
Duanmei Zhou +3 more
doaj +3 more sources
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
core +1 more source
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
openaire +2 more sources
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain [PDF]
, 2009 The semilinear reaction-di®usion equation ¡"24u+b(x; u) = 0 with Dirichlet bound-ary conditions is considered in a convex polygonal domain. The singular perturbation parameter ε is arbitrarily small, and the “reduced equation” b(x, u0 (x)) = 0 may have ...
Kellogg, R. Bruce +3 more
core +1 more source
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
doaj +1 more source
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
openaire +3 more sources
Singular Perturbation Approximation for Linear Systems with Lévy Noise [PDF]
, 2017 To solve a stochastic linear evolution equation numerically, finite dimensional approximations are commonly used. For a good approximation, one might end up with a sequence of ordinary stochastic linear equations of high order.
Redmann, M. +5 more
core +1 more source
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
doaj +1 more source