Geodesic
Linear-convex guarantee optimization problems with control delay
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 45 (2015) no. 1, pp. 37-105

Voir la notice de l'article provenant de la source Math-Net.Ru

A control problem under condition of disturbances is considered for a linear dynamical system with control delay. Optimized quality index is nonterminal and contains the evaluation of the system motion by a set of deviations at given instants of time from given targets. Depending on the structure of the quality index the existence of optimal control strategies in appropriate classes of feedback strategies is established. For calculating the value of the optimal guaranteed result and finding the optimal control laws a procedure of backward construction of upper convex hulls of auxiliary functions is proposed. In the case of the positional quality index a reduction of this procedure is performed. This reduction significantly reduces the dimension of the domains of covexified functions. Results of numerical simulations are given.
Keywords: control theory, differential games, control delay, feedback strategies. 
@article{IIMI_2015_45_1_a1,
     author = {M. I. Gomoyunov},
     title = {Linear-convex guarantee optimization problems with control delay},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {37--105},
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2015_45_1_a1/}
}
TY  - JOUR
AU  - M. I. Gomoyunov
TI  - Linear-convex guarantee optimization problems with control delay
JO  - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY  - 2015
SP  - 37
EP  - 105
VL  - 45
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIMI_2015_45_1_a1/
LA  - ru
ID  - IIMI_2015_45_1_a1
ER  - 
%0 Journal Article
%A M. I. Gomoyunov
%T Linear-convex guarantee optimization problems with control delay
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2015
%P 37-105
%V 45
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIMI_2015_45_1_a1/
%G ru
%F IIMI_2015_45_1_a1
M. I. Gomoyunov. Linear-convex guarantee optimization problems with control delay. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 45 (2015) no. 1, pp. 37-105. http://geodesic.mathdoc.fr/item/IIMI_2015_45_1_a1/