We study chemostat models with constant substrate input concentrations. We allow growth functions that are not necessarily monotone. The measurement is the substrate concentration, which is piecewise constant with a nonconstant delay, so only sampled observations are available. Under new conditions on the size of the delay and on the largest sampling interval, we solve the problem of asymptotically stabilizing a componentwise positive equilibrium point with the dilution rate as the control. We use a new Lyapunov approach.
Publication Source (Journal or Book title)
Proceedings of the American Control Conference
Mazenc, F., Harmand, J., & Malisoff, M. (2016). Stabilization in a chemostat with sampled and delayed measurements. Proceedings of the American Control Conference, 2016-July, 1857-1862. https://doi.org/10.1109/ACC.2016.7525189