Based on a structured approach of diversity, notably inspired by various forms of diversity of natural origins (biological diversity), this book unquestionably provides on the one hand, a study framework to the introduction of the non-integer derivative as a modelling tool, and on the other to the exploitation of such a form of modelling to highlight unsuspected dynamical performances (notably damping performances) in an “integer” approach of mechanics and automation. Indeed, the “non-integer” approach enables us to overcome the mass-damping dilemma in mechanics, and consequently the corresponding stability-precision dilemma in automation.
The book was written to enable a two-tier reading: the first chapter carries out a first level of presentation mentioning the main results, by limiting at minimum their mathematical developments; the other four chapters are a second level of presentation, in which theoretical sections (voluntarily eluded in the first chapter) are then developed from a mathematical point of view. However, the book has been written by always keeping simplicity in mind, in order to make of this book an example of pedagogy in this field.
