Global analysis of a continuous-time flow which computes time-optimal switchings
Grognard, Frédéric ; Sepulchre, Rodolphe
HAL, hal-01091651 / Harvested from HAL
Text on HAL
The minimum-time bounded control of linear systems is generically bang-bang and the number of switchings does not exceed the dimension of the system if the eigenvalues of the system matrix are real. This paper proposes a synthesis method for such problems based on dynamical systems that 'compute' the optimal sequence of switching times
Publié le : 2001-12-04
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC],  [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering 
@article{hal-01091651,
     author = {Grognard, Fr\'ed\'eric and Sepulchre, Rodolphe},
     title = {Global analysis of a continuous-time flow which computes time-optimal switchings},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01091651}
}

Grognard, Frédéric; Sepulchre, Rodolphe. Global analysis of a continuous-time flow which computes time-optimal switchings. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01091651/