Naslov
Averaged controllability in a long time horizon

Autori
Lazar, Martin ; Loheac, Jerome

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo

Izvornik
Ninth Conference on Applied Mathematics and Scientific Computing / - , 2018, 30-30

Skup
Ninth Conference on Applied Mathematics and Scientific Computing (ApplMath18)

Mjesto i datum
Šibenik, Hrvatska, 17.09.2018. - 20.09.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
parameter dependent ODEs ; averaged control ; controlled invariant subspace ; linear optimal control ; open-loop control systems

Sažetak
We extend the recently introduced notion of averaged controllability for parameter dependent systems. The goal is to design a control independent of the parameter that steers the averaged of the system to some prescribed value in time $T>0$ but also keeps the averaged at this prescribed value for all times $t>T$. This new notion we address as \textsl{; ; ; long-time averaged controllability}; ; ; . We consider finite dimensional systems and provide a necessary and sufficient condition for this property to hold. Once the condition is satisfied, one can apply a feedback control that keeps the average fixed during a given time period. We also address the $L^2$-norm optimality of such controls. Relations between the introduced and previously existing different control notions of parameter dependent systems are discussed, accompanied by numerical examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA