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Averaged controllability in a long time horizon (CROSBI ID 666135)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Lazar, Martin ; Loheac, Jerome Averaged controllability in a long time horizon // Ninth Conference on Applied Mathematics and Scientific Computing. 2018. str. 30-30

Podaci o odgovornosti

Lazar, Martin ; Loheac, Jerome

engleski

Averaged controllability in a long time horizon

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.

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

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Podaci o prilogu

30-30.

2018.

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objavljeno

Podaci o matičnoj publikaciji

Ninth Conference on Applied Mathematics and Scientific Computing

Podaci o skupu

Ninth Conference on Applied Mathematics and Scientific Computing, ApplMath 18

predavanje

17.09.2018-20.09.2018

Šibenik, Hrvatska

Povezanost rada

Matematika