Results 21 to 30 of about 1,053,175 (373)
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
On spectral stability for rank one singular perturbations [PDF]
Opuscula MathematicaWe study the embedded point spectrum of rank one singular perturbations of an arbitrary self-adjoint operator \(A\) on a Hilbert space \(\mathcal{H}\). These perturbations can be regarded as self-adjoint extensions of a densely defined closed symmetric ...
Mario Alberto Ruiz Caballero +1 more
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Generating cosmological perturbations in non-singular Horndeski cosmologies
Journal of High Energy Physics, 2023 We construct a concrete model of Horndeski bounce with strong gravity in the past. Within this model we show that the correct spectra of cosmological perturbations may be generated at early contracting epoch, with mild fine-tuning ensuring that the ...
Yulia Ageeva +2 more
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Nash--Moser iteration and singular perturbations [PDF]
, 2011 We present a simple and easy-to-use Nash--Moser iteration theorem tailored for singular perturbation problems admitting a formal asymptotic expansion or other family of approximate solutions depending on a parameter $\eps\to 0.$ The novel feature is to ...
Texier, Benjamin, Zumbrun, Kevin
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On Singular Perturbations of Quantum Dynamical Semigroups [PDF]
, 2017 We consider two examples of quantum dynamical semigroups obtained by singular perturbations of a standard generator which are special case of unbounded completely positive perturbations studied in detail in [11]. In Sec. 2, we propose a generalization of
A. Holevo
semanticscholar +1 more source
Asymptotics of Regular and Irregular Solutions in Chains of Coupled van der Pol Equations
Mathematics, 2023 Chains of coupled van der Pol equations are considered. The main assumption that motivates the use of special asymptotic methods is that the number of elements in the chain is sufficiently large.
Sergey Kashchenko
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Non-Singular Bouncing Cosmology: Consistency of the Effective Description [PDF]
, 2015 We explicitly confirm that spatially flat non-singular bouncing cosmologies make sense as effective theories. The presence of a non-singular bounce in a spatially flat universe implies a temporary violation of the null energy condition, which can be ...
Koehn, Michael +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2018 The theoretical bases of this paper are the theory of spectral analysis and the theory of singular and regular perturbations. We obtain an approximate price of Ornstein-Uhlenbeck double barrier options with multidimensional stochastic diffusion as ...
I.V. Burtnyak, H.P. Malytska
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Modelling of derivatives pricing using methods of spectral analysis
Journal of Vasyl Stefanyk Precarpathian National University, 2020 In this article expands the method of finding the approximate price for a wide class of derivative financial instruments. Using the spectral theory of self-adjoint operators in Hilbert space and the wave theory of singular and regular perturbations, the ...
Ivan Burtnyak, Anna Malytska
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Perturbation Theory and Singular Perturbations for Input-to-State Multistable Systems on Manifolds
IEEE Transactions on Automatic Control, 2019 We consider the notion of input-to-state multistability, which generalizes input-to-state stability to nonlinear systems evolving on Riemannian manifolds and possessing a finite number of compact, globally attractive, invariant sets, and in addition ...
Paolo Forni, D. Angeli
semanticscholar +1 more source