Now showing items 31-40 of 47
Counterexample of loss of regularity for fractional order evolution equations with both degenerating and oscillating coefficients
For weak evolution models of fractional order with singularity near the origin, the joint influence from the principal œÉ-Laplacian operator, degenerating part and oscillating part is of prime concern in the discussion of ...
Almost periodic parameters for the second moment stability of linear stochastic systems
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 ...
On approximation of an optimal boundary control problem for linear elliptic equation with unbounded coefficients
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;
Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications
This article is a continuation of our previous work , where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its ...
Averaged control and observation of parameter-depending wave equations
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 ...
Symmetric discontinuous Galerkin approximations of waves: high frequency propagation and control
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 ...
Optimal sensor location for wave and Schrödinger equations
This paper summarizes the research we have carried out recently on the problem of the optimal location of sensors and actuators for wave equa- tions, which has been the object of the talk of the third author at the Hyp2012 ...
A note on complete hyperbolic operators with log-Zygmund coefficients
The present paper is the continuation of the recent work , and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients ...
Optimal shape and location of sensors or actuators in PDE models
We investigate the problem of optimizing the shape and location of sensors and actuators for evolution systems driven by distributed parameter systems or partial differential equations (PDE). We consider wave, Schr√∂dinger ...
Robust ‚H-2 static output feedback to control an automotive throttle valve
The paper presents a control strategy for an automotive electronic throttle body, a device largely used into vehicles to increase the efficiency of the combustion engines. The synthesis of the proposed controller is based ...