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Now showing items 1-10 of 44

#### Optimal location of controllers for the one-dimensional wave equation

(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 2013-12-31)

In this paper, we consider the homogeneous one-dimensional wave equation defined on (0,π). For every subset ωâŠ[0,π] of positive measure, every T≥2π, and all initial data, there exists a unique control of minimal norm in ...

#### Blowup for a time-oscillating nonlinear heat equation

(Acta Mathematica Universitatis Comenianae, 2013-12-31)

In this paper, we study a nonlinear heat equation with a periodic time oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according ...

#### Optimal Observation of the One-dimensional Wave Equation

(Journal of Fourier Analysis and Applications, 2013-12-31)

In this paper, we consider the homogeneous one-dimensional wave equation on [0,π] with Dirichlet boundary conditions, and observe its solutions on a subset ω of [0,π]. Let L∈(0,1). We investigate the problem of maximizing ...

#### On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device

(International Journal of Robust and Nonlinear Control, 2013-12-31)

This paper deals with the control problem of discrete-time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is ...

#### A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators

(ESAIM - Control, Optimisation and Calculus of Variations, 2013-12-31)

In this paper, a lower bound is established for the local energy of partial sum of eigenfunctions for Laplace-Beltrami operators (in Riemannian manifolds with low regularity data) with general boundary condition. This ...

#### Convergence to equilibrium of some kinetic models

(Journal of Differential Equations, 2013-12-31)

We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies ...

#### Control and stabilization of waves on 1-d networks

(Lecture Notes in Mathematics, 2013-12-31)

We present some recent results on control and stabilization of waves on 1-d networks.The fine time-evolution of solutions of wave equations on networks and, consequently, their control theoretical properties, depend in a ...

#### Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy

(Mathematical Methods in the Applied Sciences, 2013-12-31)

Taking into account the occurrence of a zero of the surface diffusion current and the requirement of the Ehrlich-Schwoebel effect, Siegert et al. formulated a model of Langevin type that describes the growth of pyramid-like ...

#### Best constants and Pohozaev identity for hardy-sobolev-type operators

(Communications in Contemporary Mathematics, 2013-12-31)

This paper is threefold. Firstly, we reformulate the definition of the norm induced by the Hardy inequality (see [J. L. Vázquez and N. B. Zographopoulos, Functional aspects of the Hardy inequality. Appearance of a hidden ...

#### Second moment constraints and the control problem of Markov jump linear systems

(Numerical Linear Algebra with Applications, 2013-12-31)

This paper addresses the optimal solution for the regulator control problem of Markov jump linear systems subject to second moment constraints. We can characterize and obtain the solution explicitly using linear matrix ...