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A Decoding Approach to Fault Tolerant Control of Linear Systems with Quantized Disturbance Input
Decoding Linear Systems Quantized Disturbance Input
2010/11/19
The aim of this paper is to propose an alternative method to solve a Fault Tolerant Control problem. The model is a linear system affected by a disturbance term: this represents a large class of techn...
On universal oracle inequalities related to high-dimensional linear models
On universal oracle inequalities high-dimensional linear models
2010/11/17
This paper deals with recovering an unknown vector $\theta$ from the noisy data $Y=A\theta+\sigma\xi$, where $A$ is a known $(m\times n)$-matrix and $\xi$ is a white Gaussian noise. It is assumed tha...
Bohl-Perron type stability theorems for linear difference equations with infinite delay
Bounded delay uniform stability Perron’s property phase space
2010/12/15
Relation between two properties of linear difference equations with infinite delay is inves-
tigated: (i) exponential stability, (ii) ℓp-input ℓq-state stability (sometimes is called Perr...
Nearly linear dynamics of nonlinear dispersive waves
Nearly linear dynamics nonlinear dispersive waves
2010/12/14
Dispersive averaging e ects are used to show that KdV equation with periodic boundary conditions possesses high frequency solutions which behave nearly linearly.
A rational Arnoldi approach for ill-conditioned linear systems
Ill-conditioned linear systems Arnoldi algorithm Matrix function Tikhonov regularization
2010/12/14
For the solution of full-rank ill-posed linear systems a new approach based on the Arnoldi
algorithm is presented. Working with regularized systems, the method theoretically recon-
structs the true ...
Holomorphic quantization of linear field theory in the general boundary formulation
Holomorphic quantization of linear field theory general boundary formulation
2010/12/16
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähle...
Equivalence of concentration inequalities for linear and non-linear functions
concentration of measure large deviations quasiconvexity
2010/12/13
We consider a random variable X that takes values in a (possibly infinite-dimensional) topological vector space X. We show that, with respect to an appropriate “normal distance” on X.
Measure valued solutions of sub-linear diffusion equations with a drift term
sublinear diffusion concentration phenomena propagation of singularities gradient flows
2010/12/9
In this paper we study nonnegative, measure valued solutions of the initial value problem for
one-dimensional drift-diffusion equations when the nonlinear diffusion is governed by an increasing C1 fu...
Orbital stability of coupled standing waves for systems of non-linear Klein-Gordon equations
standing waves elliptic systems unbounded
2010/12/3
In this work we consider a system of two non-linear waves equa-tions where the non-negative, non-linear term is subcritic and contains a cou-pling term. We show the existence of standing waves solutio...
Stability analysis for linear time-delay systems described by fractional parameterized models possessing multiple internal constant discrete delays
Stability analysis linear time-delay systems described fractional parameterized models possessing multiple internal
2010/9/13
This paper discusses linear fractional representations (LFR) of parameter-dependent nonlinear systems with real-rational nonlinearities and point-delayed dynamics. Sufficient conditions for robust glo...
Estimation of a probability in inverse binomial sampling under normalized linear-linear and inverse-linear loss
Sequential estimation Point estimator Inverse binomial sampling
2010/12/3
Sequential estimation of the success probability p in inverse binomial sam-pling is considered in this paper. For any estimator ˆp, its quality is measured by the risk associated with normalized ...
Korovkin-type Theorems and Approximation by Positive Linear Operators
Korovkin-type theorem positive operator approximation by positive operators
2010/12/6
This survey paper contains a detailed self-contained introduction to Korovkin-type theorems
and to some of their applications concerning the approximation of continuous functions as well
as of Lp-fu...
An Asymptotic for the Number of Solutions to Linear Equations in Prime Numbers from Specified Chebotarev Classes
symptotic for the Number of Solutions to Linear Equations Prime Numbers Specified Chebotarev Classes
2010/12/1
An Asymptotic for the Number of Solutions to Linear Equations in Prime Numbers from Specified Chebotarev Classes.
A local stochastic Lipschitz condition with application to Lasso for high dimensional generalized linear models
Lasso sparsity measure concentration generalized linear models
2010/11/30
For regularized estimation, the upper tail behavior of the random Lipschitz coefficient asso-
ciated with empirical loss functions is known to play an important role in the error bound of
Lasso for ...
Solution for a non linear Schrödinger equation via Hopf-Cole transformation
non linear Schrö dinger equation Hopf-Cole transformation
2010/11/26
In this short letter we show that the one dimensional non linear Schr¨odinger equation(NLS)can be solved by a Hopf-Cole transformation which converts it to the Burgers equation in turbulence.