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Dynamical systems that compute time-optimal switchings
Grognard, Frédéric ; Sepulchre, Rodolphe ; De Dona, Jose
HAL, hal-01091608 / Harvested from HAL
Text on HAL
It is well known that the minimum time bounded control of linear systems is generically bang-bang and that the number of switchings does not exceed the dimension of the system if the eigenvalues of the system matrix are real. We propose a synthesis method for such problems based on dynamical systems that 'compute' the optimal sequence of switching times.
Publié le : 2002-07-04
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC],  [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering 
@article{hal-01091608,
     author = {Grognard, Fr\'ed\'eric and Sepulchre, Rodolphe and De Dona, Jose},
     title = {Dynamical systems that compute time-optimal switchings},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01091608}
}

Grognard, Frédéric; Sepulchre, Rodolphe; De Dona, Jose. Dynamical systems that compute time-optimal switchings. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-01091608/