Global steady-state controllability of 1-D semilinear heat equations
Coron, Jean-Michel ; Trélat, Emmanuel
HAL, hal-00086332 / Harvested from HAL
Text on HAL
We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other one by means of a boundary control, provided that they are in the same connected component of the set of steady-states. The proof is based on an effective feedback stabilization procedure which is implemented.
Publié le : 2004-07-05
Classification:  Lyapunov functional,  Heat equation,  controllability,  pole shifting,  Lyapunov functional.,  93B05, 93C20, 35B37.,  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-00086332,
     author = {Coron, Jean-Michel and Tr\'elat, Emmanuel},
     title = {Global steady-state controllability of 1-D semilinear heat equations},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00086332}
}

Coron, Jean-Michel; Trélat, Emmanuel. Global steady-state controllability of 1-D semilinear heat equations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00086332/