Artículos de revistas
Controllability and stabilizability of linear time-varying distributed hereditary control systems
Date
2014Registration in:
Mathematical Methods in the Applied Sciences, v. 38, n. 11, p. 2250-2271, 2014.
0170-4214
6846891446918549
Author
Universidade de Santiago (USACH)
Universidade Estadual Paulista (UNESP)
Institutions
Abstract
This 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.
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Información General: Grupo Control
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