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- Jocelyn Sabatier, Mathieu Moze, Christophe Farges
- Computers & Mathematics with Applications
- 2010

- Christophe Farges, Mathieu Moze, Jocelyn Sabatier
- Automatica
- 2010

- Jocelyn Sabatier, Mohamed Aoun, Alain Oustaloup, Gilles Grégoire, Franck Ragot, Patrick Roy
- Signal Processing
- 2006

- Jean-Claude Trigeassou, Nezha Maamri, Jocelyn Sabatier, Alain Oustaloup
- Signal Processing
- 2011

Lyapunov stability of fractional differential equations is addressed in this paper. The key concept is the frequency distributed fractional integrator model, which is the basis for a global state space model of FDEs. Two approaches are presented: the direct one is intuitive but it leads to a large dimension parametric problem while the indirect one, which… (More)

- J. Sabatier, M. Moze, A. Oustaloup
- 2005

Two methods are proposed in this paper for fractional system H -norm computation. These methods are extensions to fractional systems of well-known methods for integer systems. The first is based on singular value properties of a linear system and is applied on an academic example. In the second, two extensions of the real bounded lemma derived directly from… (More)

- Jocelyn Sabatier, Junior Mbala Francisco, Franck Guillemard, Loïc Lavigne, Mathieu Moze, Mathieu Merveillaut
- Signal Processing
- 2015

Two state space “like” representation based methods for fractional systems L2-gain computation are proposed in this paper. The first is based on an approach already presented in the literature and leads to a new theorem. The theorem is based on the location of the eigenvalues of a matrix issued from the state space “like” representation and is then… (More)

- Jocelyn Sabatier, Alain Oustaloup, Aitor Garcia Iturricha, François Levron
- ISA transactions
- 2003

Frequency methods only are used here for the study and control of continuous linear time periodic systems. Using time varying frequency responses defined by L. A. Zadeh in the 1950s, the second generation CRONE control is extended to the control of linear time periodic systems. This control strategy ensures, for the closed-loop system, a near stationary… (More)

- Nicolas Bertrand, Jocelyn Sabatier, Olivier Briat, Jean-Michel Vinassa
- IEEE Trans. Industrial Electronics
- 2010

- Jocelyn Sabatier, Christophe Farges
- I. J. Bifurcation and Chaos
- 2012