Finite-Time Control of Markov Jump Lur'e Systems With Singular Perturbations
This article investigates the asynchronous controller design issue for Markov jump Lur'e systems with singular perturbations within a fixed time interval.
Jun Cheng, Ju H. Park, Zhengpeng Wu
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Singular Perturbations of Multibrot Set Polynomials
We will give a complete description of the dynamics of the rational map $N_{F_{M_c}}(z)=\frac{3z^4-2z^3+c}{4z^3-3z^2+c}$ where c is a complex parameter. These are rational maps $N_{F_{M_c}}$ arising from Newton's method.
Figen Çilingir
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Scalable Model Selection for Spatial Additive Mixed Modeling: Application to Crime Analysis
A rapid growth in spatial open datasets has led to a huge demand for regression approaches accommodating spatial and non-spatial effects in big data.
Daisuke Murakami +2 more
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Symmetries and perturbations of time-scale nonshifted singular systems
In this work, the symmetries and perturbations of time-scale nonshifted singular Lagrangian and singular nonconservative Lagrangian systems are studied. The differential equations of motion are given. The definitions and criteria of the Noether, Lie, and
Jin Liu, Chuan-Jing Song
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Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.
Xuewen Wu
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Numerical and asymptotic flow stability analysis of vortex structures [PDF]
Stability problem of an axisymmetric swirling flow of a viscous incompressible fluid with respect to nonaxisymmetric perturbations is considered. The system of ordinary differential equations for the amplitude functions is solved numerically by the Runge-
Akhmetov Vadim
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Model reduction in chemical dynamics: slow invariant manifolds, singular perturbations, thermodynamic estimates, and analysis of reaction graph [PDF]
The paper has two goals: It presents basic ideas, notions, and methods for reduction of reaction kinetics models: quasi-steady-state, quasi-equilibrium, slow invariant manifolds, and limiting steps. It describes briefly the current state of the art and
Alexander N Gorban
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Ensemble singular vectors and their use as additive inflation in EnKF [PDF]
Given an ensemble of forecasts, it is possible to determine the leading ensemble singular vector (ESV), that is, the linear combination of the forecasts that, given the choice of the perturbation norm and forecast interval, will maximise the growth of ...
Shu-Chih Yang +2 more
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This study examined tropical cyclones (TCs) Noul and Nepartak to demonstrate the evolutions of singular vector perturbations. Perturbations comprise eigen-solutions for dry total energy from two domains with different focuses, namely the TC itself and ...
John Chien-Han Tseng, Young-Sin Lai
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Singular perturbations of the Holling I predator-prey system with a focus
We study the occurrence of limit cyles in a model for two-species predator-prey interaction (referred to as Holling I). This model is based on the phenomenological fitting of the so-called functional response function to observed data in nature by a ...
A. Zegeling, R. Kooij
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