Approximate Controllability of Second-Grade Fluids

Problem of Second Grade Fluids in Convex Polyhedrons

This article studies the solutions of a three-dimensional grade-two fluid model with a tangential boundary condition, in a polyhedron. We begin to split the problem into a system with a generalized Stokes problem and a transport equation, as V. Girault and L.R. Scott in the two dimensions case. But, compared to the two-dimensional problem, we have an additional term difficult to bound, which re...

Approximate controllability of a second-order neutral stochastic differential equation with state-dependent delay

Abstract. In this paper, the existence and uniqueness of mild solution is initially obtained by use of measure of noncompactness and simple growth conditions. Then the conditions for approximate controllability are investigated for the distributed second-order neutral stochastic differential system with respect to the approximate controllability of the corresponding linear system in a Hilbert s...

Approximate Controllability of Parameter-Dependent Linear Systems

In this paper we derive necessary as well as sufficient conditions for approximate controllability of parameter-dependent linear systems in the supremum norm. An extension to L approximate observability of families of linear systems is derived, too. Using tools from complex approximation theory, we prove the existence of parameter-independent open-loop controls that steer the zero initial state...

On partial approximate controllability of semilinear systems

Approximate controllability of linear distributed control systems

We characterize the approximate controllability of first-order and second-order linear abstract control systems in terms of quasianalytic vectors. c © 2007 Elsevier Ltd. All rights reserved.