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Now showing items 11-20 of 47

#### Almost periodic parameters for the second moment stability of linear stochastic systems

(IEEE Transactions on Automatic Control, 2014-12-31)

The technical note presents conditions to assure the uniform second moment stability for a class of linear time-varying stochastic systems. The system parameters are assumed to be almost periodic, a concept that is weaker ...

#### Symmetric discontinuous Galerkin approximations of waves: high frequency propagation and control

(BCAM Springer Briefs in Mathematics, 2014-12-31)

This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform ...

#### Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach

(Foundations of Computational Mathematics, 2014-12-31)

In this article, we describe the propagation properties of the one-dimensional wave and transport equations with variable coefficients semi-discretized in space by finite difference schemes on non-uniform meshes obtained ...

#### Transmutation techniques and observability for time-discrete approximation schemes of conservative systems

(Numerische Mathematik, 2014-12-31)

In this article, we consider abstract linear conservative systems and their time-discrete counterparts. Our main result is a representation formula expressing solutions of the continuous model through the solution of the ...

#### Averaged control

(Automatica, 2014-12-31)

We analyze the problem of controlling parameter-dependent systems. We introduce the notion of averaged control according to which the quantity of interest is the average of the states with respect to the parameter. First ...

#### Recovery of an initial temperature from discrete sampling

(Mathematical Models and Methods in Applied Sciences, 2014-12-31)

The problem of recovering the initial temperature of a body from discrete temperature measurements made at later times is studied. While this problem has a general formulation, the results of this paper are only given in ...

#### The behavior of domain decomposition methods when the overlapping length is large

(Central European Journal of Mathematics, 2014-12-31)

In this paper, we introduce a new approach for the convergence problem of optimized Schwarz methods by studying a generalization of these methods for a semilinear elliptic equation. We study the behavior of the algorithm ...

#### Averaged control and observation of parameter-depending wave equations

(Comptes Rendus Mathematique, 2014-12-31)

We analyze the problem of averaged observability and control of wave equations.This topic is motivated by the control of parameter-dependent systems of wave equations. We look for controls ensuring the controllability of ...

#### On approximation of an optimal boundary control problem for linear elliptic equation with unbounded coefficients

(Discrete and Continuous Dynamical Systems- Series A, 2014-12-31)

We study an optimal boundary control problem (OCP) associated to a linear elliptic equation -div (‚àáy + A(x)‚àáy) = f. The characteristic feature of this equation is the fact that the matrix A(x) = [aij (x)] i;j=1;

#### Robust null controllability for heat equations with unknown switching control mode

(Discrete and Continuous Dynamical Systems- Series A, 2014-12-31)

We analyze the null controllability for heat equations in the presence of switching controls. The switching pattern is a priori unknown so that the control has to be designed in a robust manner, based only on the past ...