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- Denis Matignon
- 1996

In this paper, stability results of main concern for control theory are given for nite-dimensional linear fractional diierential systems. For fractional diier-ential systems in state-space form, bothâ€¦ (More)

- Denis Matignon
- 2008

In the last decades fractional di erential equations have become popular among scientists in order to model various stable physical phenom ena with anomalous decay say that are not of exponentialâ€¦ (More)

- Denis Matignon
- 1996

In this paper, some structural results of main concern for control theory are given for nite-dimensional linear fractional diierential systems. The controllability and observability properties ofâ€¦ (More)

- David HELESCHEWITZ, Denis Matignon
- 1998

Fractional integrals and derivatives are usually presented as non-standard convolutions, but they are also linked to classical diiusive operators on a Hilbert state space of innnite dimension. Aâ€¦ (More)

- J.-F. DeÃ¼, Denis Matignon
- Computers & Mathematics with Applications
- 2010

A Newmark-diffusive scheme is presented for the time-domain solution of dynamic systems containing fractional derivatives. This scheme combines a classical Newmark time-integration method used toâ€¦ (More)

- Denis Matignon
- 1997

The goal of this paper is to propose observer-based controllers, either in state-space form or in polynomial representation, for fractional diierential systems. As for linear diierential systems ofâ€¦ (More)

- Denis Matignon
- 1998

In the last decades, fractional diierential equations have become more and more popular among scientists and daring engineers in order to model various stable physical phenomena with anomalous decay,â€¦ (More)

- Thomas HÃ©lie, Denis Matignon
- Signal Processing
- 2006

Fractional differential systems are infinite-dimensional systems which are difficult to study and simulate: they can be represented with poles and cuts. This representation applies to a wider classâ€¦ (More)

- Denis Matignon
- 2008

In this paper we show that every diffusive system is a well-posed system in the sense of Salamon and Weiss. Furthermore, we characterize several systems theoretic properties of these systems, such asâ€¦ (More)

- Thomas HÃ©lie, RÃ©mi Mignot, Denis Matignon
- 2007 IEEE Workshop on Applications of Signalâ€¦
- 2007

This paper deals with the theory and application of waveguide modeling of lossy flared acoustic pipes. The novelty lies in a refined 1D-acoustic model: the Webster-Lokshin equation. This modelâ€¦ (More)