Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem

Tomáš Roubíček

Kybernetika (1984)

  • Volume: 20, Issue: 5, page 405-412
  • ISSN: 0023-5954

How to cite

top

Roubíček, Tomáš. "Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem." Kybernetika 20.5 (1984): 405-412. <http://eudml.org/doc/27642>.

@article{Roubíček1984,
author = {Roubíček, Tomáš},
journal = {Kybernetika},
keywords = {Banach space; time-optimal control},
language = {eng},
number = {5},
pages = {405-412},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem},
url = {http://eudml.org/doc/27642},
volume = {20},
year = {1984},
}

TY - JOUR
AU - Roubíček, Tomáš
TI - Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem
JO - Kybernetika
PY - 1984
PB - Institute of Information Theory and Automation AS CR
VL - 20
IS - 5
SP - 405
EP - 412
LA - eng
KW - Banach space; time-optimal control
UR - http://eudml.org/doc/27642
ER -

References

top
  1. N. U. Ahmed, Optimal control of a class of strongly nonlinear parabolic systems, J. Math. Anal. Appl. 61 (1977), 188-207. (1977) Zbl0404.49021MR0638047
  2. N. Bourbaki, Topologie générale, Hermann, Paris 1964. Russian translation: Obščaja topologija. Nauka, Moscow 1975. (1964) Zbl0134.18203
  3. J. L. Lions, Quelqucs méthodes de résolution des problèmes aux limites non linéaires, Dunod et Gauthier-Villars, Paris 1969. Russian translation: Někotoryje metody rešenija nělinějnych krajevych zadač. Mir, Moscow 1972. (1969) MR0259693
  4. J. L. Lions., Controle optimal de systèmes gouvernés par des équation aux dérivées partielles, Dunod et Gauthier-Villars, Paris 1968. Russian translation: Optimaľnoje upravlenije sistěmami opisyvajemymi uravněnijami v častnych proizvodnych. Mir, Moscow 1972. (1968) MR0244606
  5. P. Mankiewicz, On the differentiability of Lipschitz mappings in Fréchet spaces, Studia Math. 45 (1973), 15-29. (1973) Zbl0219.46006MR0331055

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.