Approximate Controllability

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.

Approximate Controllability of Delayed Semilinear Control Systems

We deal with the approximate controllability of control systems governed by delayed semilinear differential equations ẏ(t) =Ay(t) +A1y(t−∆) +F(t, y(t), yt) + (Bu)(t). Various sufficient conditions for approximate controllability have been obtained; these results usually require some complicated and limited assumptions. Results in this paper provide sufficient conditions for the approximate cont...

Approximate Controllability of Fractional Integrodifferential Evolution Equations

This paper addresses the issue of approximate controllability for a class of control systemwhich is represented bynonlinear fractional integrodifferential equations with nonlocal conditions. By using semigroup theory, p-mean continuity and fractional calculations, a set of sufficient conditions, are formulated and proved for the nonlinear fractional control systems. More precisely, the results ...