# Objective function design for robust optimality of linear control under state-constraints and uncertainty

ESAIM: Control, Optimisation and Calculus of Variations (2011)

- Volume: 17, Issue: 1, page 155-177
- ISSN: 1292-8119

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topBagagiolo, Fabio, and Bauso, Dario. "Objective function design for robust optimality of linear control under state-constraints and uncertainty." ESAIM: Control, Optimisation and Calculus of Variations 17.1 (2011): 155-177. <http://eudml.org/doc/276336>.

@article{Bagagiolo2011,

abstract = {
We consider a model for the control of a linear network flow system with unknown but bounded demand
and polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective function
that makes robust optimal the policy represented by the so-called linear saturated feedback control.
We regard the problem as a suitable differential game with switching cost and study it in the framework of the viscosity solutions theory for Bellman and Isaacs equations.
},

author = {Bagagiolo, Fabio, Bauso, Dario},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Optimal control; viscosity solutions; differential games; switching; flow control; networks; optimal control},

language = {eng},

month = {2},

number = {1},

pages = {155-177},

publisher = {EDP Sciences},

title = {Objective function design for robust optimality of linear control under state-constraints and uncertainty},

url = {http://eudml.org/doc/276336},

volume = {17},

year = {2011},

}

TY - JOUR

AU - Bagagiolo, Fabio

AU - Bauso, Dario

TI - Objective function design for robust optimality of linear control under state-constraints and uncertainty

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2011/2//

PB - EDP Sciences

VL - 17

IS - 1

SP - 155

EP - 177

AB -
We consider a model for the control of a linear network flow system with unknown but bounded demand
and polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective function
that makes robust optimal the policy represented by the so-called linear saturated feedback control.
We regard the problem as a suitable differential game with switching cost and study it in the framework of the viscosity solutions theory for Bellman and Isaacs equations.

LA - eng

KW - Optimal control; viscosity solutions; differential games; switching; flow control; networks; optimal control

UR - http://eudml.org/doc/276336

ER -

## References

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