TY - GEN
T1 - Time-varying control laws with guaranteed persistence for a class of multi-species chemostats
AU - Mazenc, Frédéric
AU - Jiang, Zhong Ping
PY - 2009
Y1 - 2009
N2 - We study classical families of chemostat models with an arbitrary number of species competing for a single limiting substrate. For families of models, we present some obstructions to the existence of asymptotically stabilizable periodic trajectories. For other families of growth rates, we design a dilution rate and input substrate time-varying feedback controllers so that a positive trajectory of the chemostat model becomes globally asymptotically stable. That way, the control laws ensure persistence of all the species. A local version of this result is given in the case where only the substrate concentration is available by measurement.
AB - We study classical families of chemostat models with an arbitrary number of species competing for a single limiting substrate. For families of models, we present some obstructions to the existence of asymptotically stabilizable periodic trajectories. For other families of growth rates, we design a dilution rate and input substrate time-varying feedback controllers so that a positive trajectory of the chemostat model becomes globally asymptotically stable. That way, the control laws ensure persistence of all the species. A local version of this result is given in the case where only the substrate concentration is available by measurement.
UR - http://www.scopus.com/inward/record.url?scp=77950806090&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2009.5399908
DO - 10.1109/CDC.2009.5399908
M3 - Conference contribution
AN - SCOPUS:77950806090
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 7710
EP - 7715
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -