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Converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, but the functions it provides are often abstract and nonexplicit, and therefore may not… (More)

- Frédéric Mazenc, Olivier Bernard
- Automatica
- 2011

It is shown that, for any time-invariant exponentially stable linear system with additive disturbances, time-varying exponentially stable interval observers can be constructed. The technique of… (More)

- Frédéric Mazenc, Sabine Mondié, Rogelio Francisco
- IEEE Transactions on Automatic Control
- 2004

The problem of globally uniformly asymptotically and locally exponentially stabilizing a family of nonlinear feedforward systems when there is a delay in the input is solved. No limitation on the… (More)

- Frédéric Mazenc, Kristin Ytterstad Pettersen, Henk Nijmeijer
- IEEE Trans. Automat. Contr.
- 2002

Explicit formulas of smooth time-varying state feedbacks, which make the origin of an underactuated surface vessel globally uniformly asymptotically stable, are proposed. The construction of the… (More)

- Frédéric Mazenc, Pierre-Alexandre Bliman
- 42nd IEEE International Conference on Decision…
- 2003

The backstepping approach is adapted to the problem of globally uniformly asymptotically stabilizing nonlinear systems in feedback form with a delay arbitrarily large in the input. The strategy of… (More)

- Frédéric Mazenc
- 1997

We prove that, for any odd integer p and any strictly positive integer n, feedforward systems which are approximated at the origin by a chain of integrators of degree p and length n can be globally… (More)

- Frédéric Mazenc, Sabine Mondié, Silviu-Iulian Niculescu
- Systems & Control Letters
- 2004

The problem of globally asymptotically stabilizing by bounded feedback of an oscillator with an arbitrary large delay in the input is solved. A first solution follows from a general result on the… (More)

- Frédéric Mazenc
- Automatica
- 2003

Uniformly asymptotically stable periodic time-varying systems for which is known a Lyapunov function with a derivative along the trajectories non-positive and negative definite in the state variable… (More)

- Frédéric Mazenc, Michel Kieffer, Eric Walter
- American Control Conference (ACC)
- 2012

We consider continuous-time linear systems with additive disturbances and discrete-time measurements. First, we construct an observer, which converges to the state trajectory of the linear system… (More)

- Frédéric Mazenc, Abderrhaman Iggidr
- Systems & Control Letters
- 2004

A family of time-varying nonlinear systems is globally uniformly asymptotically sta- bilized by bounded feedbacks constructed through a new extension of the backstepping approach. Explicit… (More)