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On Maximizing a Robustness Measure for Structured Nonlinear Perturbations
Maximizing Robustness Measure Structured Nonlinear Perturbations
2015/7/13
In this paper, we propose a robustness measure for LTI systems with causal, nonlinear diagonal perturbations with finite L_2-gain. We propose an algorithm to reliably compute this quantity. We show ho...
Stability and dynamics of matter-wave vortices in the presence of collisional inhomogeneities and dissipative perturbations
Spectral properties vortex bose-einstein condensate harmonic trap negative energy pattern precession vortex power trap
2014/12/24
In this work, the spectral properties of a singly charged vortex in a Bose–Einstein condensate confined in a highly anisotropic (disc-shaped) harmonic trap are investigated. Special emphasis is placed...
A Subspace Estimator for Fixed Rank Perturbations of Large Random Matrices
Large Random Matrix Theory MUSIC Algorithm Extreme Eigenvalues
2011/7/6
This paper deals with the problem of parameter estimation based on certain eigenspaces of the empirical covariance matrix of an observed multidimensional time series, in the case where the time series...
Admissible perturbations of processes with independent increments
Admissible perturbations of processes independent increments
2009/9/22
We investigate conditions on the law equivalence of
ltd-valued stochastically continuous processes with independent increments
and with no Gaussian component. This problem is studied from
the stand...
Absolute continuity, quadratic forms, and causal perturbations of product measures
Absolute continuity of measures quadratic forms stable random variables
2009/9/22
Necessary and sullicient conditions are given for the
absolute continuity of a causally perturbed product measure with respect
to the non-perturbed measure. When the perturbation ia linear,
these c...
On Stein's method and perturbations
perturbation method normal distribution jump diusion process poisson distribution compound poisson distribution
2009/6/12
Stein (1972) method is a very general tool for assessing the quality of approximation of the distribution of a random element by another, often simpler, distribution. In applications of Stein method, ...
Almost Sure Stability of Linear Ito-Volterra Equations with Damped Stochastic Perturbations
stochastic functional-dierential equations Ito-Volterra equations uniform asymptotic stability pathwise stability simulated annealing
2009/4/29
In this paper we study the a.s. convergence of all solutions of the It^{o}-Volterra equation [ dX(t) = (AX(t) + int_{0}^{t} K(t-s)X(s),ds),dt + Sigma(t),dW(t) ] to zero. $A$ is a constant $dtimes d$ m...
On the Effect of Random Alternating Perturbations on Hazard Rates
Hazard rates telegraph process dichotomous noise estimatedhazard rates confidence bands
2010/4/26
We consider a model for systems perturbed by dichotomous noise, in which the
hazard rate function of a random lifetime is subject to additive time-alternating perturbations
described by the telegrap...
