After an overview of the results dedicated to stability analysis of systems described by
differential equations involving fractional derivatives, also denoted fractional order systems …

This paper addresses the problem of pseudo state feedback stabilization of commensurate
fractional order systems. In the proposed approach, Linear Matrix Inequalities (LMI) …

This paper deals with the non-quadratic stabilization of Takagi–Sugeno (TS) models with D-
stability constraints. Based on a recently proposed Non-Quadratic Lyapunov Function …

Necessary and sufficient conditions are formulated for the zeros of an arbitrary polynomial
matrix to belong to a given region D of the complex plane. The conditions stem from a …

This paper tackles the problem of H-infinity (H∞) norm computation for a commensurate
Fractional Order System (FOS). First, H∞ norm definition is given for FOS and Hamiltonian …

This paper presents the asymptotical stabilization problem of linear singular fractional-order
systems. The results are obtained in terms of linear matrix inequalities, which are derived …

Dans ce mémoire, nous avons proposé une méthode basée sur l'utilisation de la
généralisation du lemme de Gronwall-Bellman pour garantir des conditions suffisantes de …

In this paper, the problem of robust matrix root‐clustering is addressed. The studied matrices
are subject to both polytopic and unstructured uncertainties. An original point is the large …

In a letter to L'Hospital in 1695, Leibniz raised the possibility of generalizing the operation of
differentiation to non-integer orders and L'Hospital asked what would be the result of half …

This paper considers the observers design for continuous-time singular fractional-order
systems. The approach is based on the generalized Sylvester equations solutions. The …