Results 291 to 300 of about 1,080,088 (350)

Singular perturbation methods

1999
Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
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Singular Perturbations in Manufacturing

SIAM Journal on Control and Optimization, 1993
Summary: An asymptotic analysis for a large class of stochastic optimization problems arising in manufacturing is presented. A typical example of the problems considered in this paper is a production planning problem with random capacity and demand.
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Singular Perturbation Problems with a Singularity of the Second Kind

SIAM Journal on Mathematical Analysis, 1983
The authors study a singular perturbation problem for the system of ordinary differential equations \[ (\Sigma_{\epsilon})\epsilon y'=t^{\alpha}h(y,z,t,\epsilon);\quad \alpha >-1,\quad z'=t^{\alpha}g(y,z,t,\epsilon);\quad t\in [1,+\infty [ \] the system being quasilinear in the sense of Ringhofer. The problem \(P_{\epsilon}\) investigated is a boundary
Markowich, Peter A., Ringhofer, Christian A.   +1 more
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Singular Perturbation of Linear Systems with a Regular Singularity

Journal of Dynamical and Control Systems, 2002
The paper is devoted to the study of singularly perturbed inhomogeneous linear systems of the form \[ \varepsilon zx'= A(z,\varepsilon) x- f(z,\varepsilon), \] having a regular singularity at the origin. Summability properties of the unique formal solution, which is a power series with respect to the variable \(z\) and the perturbation parameter ...
Balser, W., Kostov, V.
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Corner singularities and singular perturbations

ANNALI DELL UNIVERSITA DI FERRARA, 2001
Summary: A corner singularity expansion is developed for a singularly perturbed elliptic boundary value problem. The problem is set in a sector of the plane. In the expansion, particular attention is paid to the singular perturbation parameter. The result is used to give pointwise bounds on derivatives of the solution.
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Singular singular-perturbation problems

1977
Abstract : Consider initial problems for nonlinear singularly perturbed systems of the form epsilon sub z dot = f(z,t,epsilon) in the singular situation that f sub z(z,t,0) has a nontrivial null space. Under appropriate hypotheses, such problems have asymptotic solutions as epsilon approaches 0 for t or = 0 consisting of the sum of a function of t and ...
R. E. O'Malley, J. E. Flaherty
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Perturbation of linear forms of singular vectors under Gaussian noise

, 2015
Let $A\in\mathbb{R}^{m\times n}$ be a matrix of rank $r$ with singular value decomposition (SVD) $A=\sum_{k=1}^r\sigma_k (u_k\otimes v_k),$ where $\{\sigma_k, k=1,\ldots,r\}$ are singular values of $A$ (arranged in a non-increasing order) and $u_k\in ...
V. Koltchinskii, Dong Xia
semanticscholar   +1 more source

Slow State Variables Feedback Stabilization for Semi-Markov Jump Systems With Singular Perturbations

IEEE Transactions on Automatic Control, 2018
The slow state variables feedback stabilization problem for semi-Markov jump discrete-time systems with slow sampling singular perturbations is discussed in this work.
Hao Shen, Feng Li, Shengyuan Xu, V. Sreeram   +3 more
semanticscholar   +1 more source

On the Reduction of Coercive Singular Perturbations to Regular Perturbations

1989
Summary: It is shown that for a coercive singular perturbation \({\mathcal A}^{\epsilon}\) appearing in the linear elasticity theory, an appropriate choice of a reducing operator \(S^{\epsilon}\) leads to the asymptotic relation: \(S^{\epsilon}{\mathcal A}^{\epsilon}={\mathcal A}^ 0+\epsilon Q^{\epsilon}\), where \({\mathcal A}^ 0\) is the reduced ...
Frank, L. S., Heijstek, J. J.
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Geometric Singular Perturbation Theory Beyond the Standard Form

Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 2020
M. Wechselberger
semanticscholar   +1 more source