Averaged controllability in a long time horizon (CROSBI ID 666135)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa
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
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o prilogu
30-30.
2018.
nije evidentirano
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