In this section
@article{Sootla:2016:10.1016/j.automatica.2015.10.037,
author = {Sootla, A and Oyarzun, DA and Angeli, D and Stan, GB},
doi = {10.1016/j.automatica.2015.10.037},
journal = {Automatica},
pages = {254--264},
title = {Shaping Pulses to Control Bistable Systems: Analysis, Computation and Counterexamples},
url = {http://dx.doi.org/10.1016/j.automatica.2015.10.037},
volume = {63},
year = {2016}
}
TY - JOUR
AB - In this paper we study how to shape temporal pulses to switch a bistable system between its stable steady states. Our motivation forpulse-based control comes from applications in synthetic biology, where it is generally difficult to implement real-time feedback controlsystems due to technical limitations in sensors and actuators. We show that for monotone bistable systems, the estimation of the set ofall pulses that switch the system reduces to the computation of one non-increasing curve. We provide an efficient algorithm to computethis curve and illustrate the results with a genetic bistable system commonly used in synthetic biology. We also extend these results tomodels with parametric uncertainty and provide a number of examples and counterexamples that demonstrate the power and limitationsof the current theory. In order to show the full potential of the framework, we consider the problem of inducing oscillations in a monotonebiochemical system using a combination of temporal pulses and event-based control. Our results provide an insight into the dynamics ofbistable systems under external inputs and open up numerous directions for future investigation.
AU - Sootla,A
AU - Oyarzun,DA
AU - Angeli,D
AU - Stan,GB
DO - 10.1016/j.automatica.2015.10.037
EP - 264
PY - 2016///
SN - 1873-2836
SP - 254
TI - Shaping Pulses to Control Bistable Systems: Analysis, Computation and Counterexamples
T2 - Automatica
UR - http://dx.doi.org/10.1016/j.automatica.2015.10.037
UR - http://hdl.handle.net/10044/1/27308
VL - 63
ER -