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math.OC2006
On the Stability of Periodic Solutions in the Perturbed Chemostat
Frederic Mazenc, Michael Malisoff, Patrick De Leenheer
We study the chemostat model for one species competing for one nutrient using a Lyapunov-type analysis. We design the dilution rate function so that all solutions of the chemostat…
math.OC2006
Further Results on Lyapunov Functions for Slowly Time-Varying Systems
Frederic Mazenc, Michael Malisoff
We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamic…
math.OC2004★ 63 cited
Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems
Michael Malisoff, Frederic Mazenc
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given a…