This paper highlights several misinterpretations that arise in the field of fractional systems
analysis using a representation known in the literature as “state space description”. Given …

In this paper, new operational matrices for shifted Legendre orthonormal polynomial are
derived. This polynomial is used as a basis function for developing a new numerical …

Fractional order differentiation is generally considered as the basis of fractional calculus, but
the real basis is in fact fractional order integration and particularly the fractional integrator …

Nowadays, the control of fractional-order system is one of the most popular topics in control
theory. Recent studies have demonstrated the interest of fractional calculus both for systems …

This paper presents a series of new results on the asymptotic stability of discrete-time
fractional difference (FD) state space systems and their finite-memory approximations called …

Mastery of the initial conditions of fractional order systems remains an open problem, in spite
of a great number of contributions. This paper proposes a solution dedicated to linear …

This book introduces an original fractional calculus methodology (the infinite state approach)
which is applied to the modeling of fractional order differential equations (FDEs) and …

This paper deals with applications of sliding‐mode‐based fractional control techniques to
address tracking and stabilization control tasks for some classes of nonlinear uncertain …

In this paper, a high-order sliding mode observer (HOSMO) is proposed for the joint
estimation of the pseudo-state and the unknown input of fractional commensurate linear …

The paper presents finite-dimensional dynamical control systems described by linear
fractional-order state equations with multiple delays in control. The constrained controls are …