Henríquez, Hernán R.Arita, Andréa Cristina Prokopczyk [UNESP]2015-04-272015-04-272014Mathematical Methods in the Applied Sciences, v. 38, n. 11, p. 2250-2271, 2014.0170-4214http://hdl.handle.net/11449/122789This paper is concerned with the controllability and stabilizability problem for control systems described by a time-varyinglinear abstract differential equation with distributed delay in the state variables. An approximate controllability propertyis established, and for periodic systems, the stabilization problem is studied. Assuming that the semigroup of operatorsassociated with the uncontrolled and non delayed equation is compact, and using the characterization of the asymptoticstability in terms of the spectrum of the monodromy operator of the uncontrolled system, it is shown that the approximatecontrollability property is a sufficient condition for the existence of a periodic feedback control law that stabilizes thesystem. The result is extended to include some systems which are asymptotically periodic. Copyright © 2014 John Wiley &Sons, Ltd.2250-2271engControllability of distributed hereditary control systemsStabilization of distributed hereditary control systemsPeriodic control systemsRetarded functional differential equationsArtigo10.1002/mma.3219Acesso restrito6846891446918549