107 citations · 242 across the 8 of their papers we have counts for
8 papers
Stability of quantized time-delay nonlinear systems: A Lyapunov-Krasowskii-functional approach
C. De Persis, F. Mazenc
Lyapunov-Krasowskii functionals are used to design quantized control laws for nonlinear continuous-time systems in the presence of constant delays in the input. The quantized contr…
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…
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…
Constructions of Strict Lyapunov Functions for Discrete Time and Hybrid Time-Varying Systems
Michael Malisoff, Frederic Mazenc
We provide explicit closed form expressions for strict Lyapunov functions for time-varying discrete time systems. Our Lyapunov functions are expressed in terms of known nonstrict L…
Further Results on Active Magnetic Bearing Control with Input Saturation
Frederic Mazenc, Marcio S. de Queiroz, Michael Malisoff +1
We study the low-bias stabilization of active magnetic bearings (AMBs) subject to voltage saturation based on a recently proposed model for the AMB switching mode of operation. Usi…
Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems
Frederic Mazenc, Michael Malisoff, Marcio S. de Queiroz
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentime…