Chapter 8: Mittag-Leffler Stability of Fractional Nonlinear Systems with Delay

The dynamics of time-delay system is an important subject from both theoretical applied point of views [Richard (2003)]. We recall that the time delay appears naturally in various technical systems, e.g., electric, chemical, pneumatic, and hydraulic networks, long transmission lines and many others. Various results were reported on this matter, with particular emphasis on the application of Lyapunov's second method (see for example references [Chen et al. (1995); Lee and Dianat (1981)] and the references therein)…