# Optimal impulsive control of delay systems

Florent Delmotte; Erik I. Verriest; Magnus Egerstedt

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 14, Issue: 4, page 767-779
- ISSN: 1292-8119

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topDelmotte, Florent, Verriest, Erik I., and Egerstedt, Magnus. "Optimal impulsive control of delay systems." ESAIM: Control, Optimisation and Calculus of Variations 14.4 (2008): 767-779. <http://eudml.org/doc/250312>.

@article{Delmotte2008,

abstract = {
In this paper, we solve an optimal control problem using the
calculus of variation. The system under consideration is a
switched autonomous delay system that undergoes jumps at the
switching times. The control variables are the instants when the
switches occur, and a set of scalars which determine the jump
amplitudes. Optimality conditions involving analytic expressions
for the partial derivatives of a given cost function with respect
to the control variables are derived using the calculus of
variation. A locally optimal impulsive control strategy can then
be found using a numerical gradient descent algorithm.
},

author = {Delmotte, Florent, Verriest, Erik I., Egerstedt, Magnus},

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

keywords = {Optimal control; impulse
control; switched systems; delay systems; calculus of variation.; optimal control; impulse control; calculus of variation},

language = {eng},

month = {1},

number = {4},

pages = {767-779},

publisher = {EDP Sciences},

title = {Optimal impulsive control of delay systems},

url = {http://eudml.org/doc/250312},

volume = {14},

year = {2008},

}

TY - JOUR

AU - Delmotte, Florent

AU - Verriest, Erik I.

AU - Egerstedt, Magnus

TI - Optimal impulsive control of delay systems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2008/1//

PB - EDP Sciences

VL - 14

IS - 4

SP - 767

EP - 779

AB -
In this paper, we solve an optimal control problem using the
calculus of variation. The system under consideration is a
switched autonomous delay system that undergoes jumps at the
switching times. The control variables are the instants when the
switches occur, and a set of scalars which determine the jump
amplitudes. Optimality conditions involving analytic expressions
for the partial derivatives of a given cost function with respect
to the control variables are derived using the calculus of
variation. A locally optimal impulsive control strategy can then
be found using a numerical gradient descent algorithm.

LA - eng

KW - Optimal control; impulse
control; switched systems; delay systems; calculus of variation.; optimal control; impulse control; calculus of variation

UR - http://eudml.org/doc/250312

ER -

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