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A new method for the nonlinear transformation of means and covariances in filters and estimators
IEEE Transactions on Automatic Control, 2000This paper describes a new approach for generalizing the Kalman filter to nonlinear systems. A set of samples are used to parametrize the mean and covariance of a (not necessarily Gaussian) probability distribution.
S. Julier, J. Uhlmann, H. Durrant-Whyte
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A nonlinear philosophy for nonlinear systems
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on an excitability index-a nonlinear counterpart of the magnitude frequency response of linear systems.
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Nonlinear Biplots for Nonlinear Mappings
1993The objective is the analysis of multivariate data, obtaining nonlinear transformations of the columns of the data matrix (the variables), nonlinear mappings for the rows (the objects), and in addition, a nonlinear biplot. The latter consists of nonlinear mappings of trajectories for the transformed variables in the space of the row-objects.
Jacqueline J. Meulman, Willem J. Heiser
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1990
Nonlinearity interfaces, i.e. those between an ordinary dielectric and a dielectric material with an intensity-dependent index of refraction, have recently played an important role as an element in optical bistable devices 1,3. The efforts of researchers are aimed at finding non linear materials with particular optical properties in order to fit very ...
F Bloisi+8 more
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Nonlinearity interfaces, i.e. those between an ordinary dielectric and a dielectric material with an intensity-dependent index of refraction, have recently played an important role as an element in optical bistable devices 1,3. The efforts of researchers are aimed at finding non linear materials with particular optical properties in order to fit very ...
F Bloisi+8 more
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Optimal State Estimation: Kalman, H∞, and Nonlinear Approaches
, 1995In 1960, R.E. Kalman published his famous paper describing a recursive solution to the discrete-data linear filtering problem. Since that time, due in large part to advances in digital computing, the Kalman filter has been the subject of extensive ...
D. Simon
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Nonlinear Finite Elements for Continua and Structures
, 2000Preface. List of Boxes. Introduction. Lagrangian and Eulerian Finite Elements in One Dimension. Continuum Mechanics. Lagrangian Meshes. Constitutive Models Solution Methods and Stability. Arbitrary Lagrangian Eulerian Formulations.
T. Belytschko, Wing Kam Liu, B. Moran
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Nonlinear elliptic equations with singular nonlinearities
Asymptotic Analysis, 2013In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose simplest example is{div( |δu|p2δu ) = f u in ω, u =0 on ω, where ω is a bounded open set in R N (N ≥ 2),γ >0, 1 < p < N, 0 ≤ f ε L m(ω), m ≥ 1. The main difficulty is due to the right hand side f(x)/uγ , since u = 0 on the boundary. In order to
De Cave, Linda Maria
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Modelling Asymmetric Cointegration and Dynamic Multipliers in a Nonlinear ARDL Framework
, 2013We develop a cointegrating nonlinear autoregressive distributed lag (NARDL) model in which short- and long-run nonlinearities are introduced via positive and negative partial sum decompositions of the explanatory variables.
Y. Shin+2 more
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Nonlinear fibers with arbitrary nonlinearity
Journal of the Optical Society of America B, 1991Analytical solutions for the fundamental mode of nonlinear fibers with arbitrary nonlinearity are presented, based on a variational technique. Applied to the saturable nonlinearity, the analytical approximations are found to be in good agreement with the numerical solutions.
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Solitons, Nonlinear Evolution Equations and Inverse Scattering
, 19921. Introduction 2. Inverse scattering for the Korteweg-de Vries equation 3. General inverse scattering in one dimension 4. Inverse scattering for integro-differential equations 5. Inverse scattering in two dimensions 6.
M. Ablowitz, P. Clarkson
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