Geodesic
Receding horizon optimal control for infinite dimensional systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 741-760

Voir la notice de l'article provenant de la source Numdam

The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier-Stokes equations, semilinear wave equations and reaction diffusion systems are given.

DOI : 10.1051/cocv:2002032
Classification : 49L15, 49N35, 93C20, 93Dx
Keywords: receding horizon control, control Lyapunov function, Lyapunov equations, closed loop dissipative, minimum value function, Navier-Stokes equations 
@article{COCV_2002__8__741_0,
     author = {Ito, Kazufumi and Kunisch, Karl},
     title = {Receding horizon optimal control for infinite dimensional systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {741--760},
     publisher = {EDP-Sciences},
     volume = {8},
     year = {2002},
     doi = {10.1051/cocv:2002032},
     mrnumber = {1932971},
     zbl = {1066.49020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002032/}
}
TY  - JOUR
AU  - Ito, Kazufumi
AU  - Kunisch, Karl
TI  - Receding horizon optimal control for infinite dimensional systems
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2002
SP  - 741
EP  - 760
VL  - 8
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002032/
DO  - 10.1051/cocv:2002032
LA  - en
ID  - COCV_2002__8__741_0
ER  - 
%0 Journal Article
%A Ito, Kazufumi
%A Kunisch, Karl
%T Receding horizon optimal control for infinite dimensional systems
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2002
%P 741-760
%V 8
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002032/
%R 10.1051/cocv:2002032
%G en
%F COCV_2002__8__741_0
Ito, Kazufumi; Kunisch, Karl. Receding horizon optimal control for infinite dimensional systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 741-760. doi: 10.1051/cocv:2002032

Cité par Sources :