Diversity and Non-integer Differentiation for System Dynamics

Based on a structured approach to diversity, notably inspired by various forms of diversity of natural origins, Diversity and Non-integer Derivation Applied to System Dynamics provides a study framework to the introduction of the non-integer derivative as a modeling tool. Modeling tools that highlight unsuspected dynamical performances (notably damping performances) in an "integer" approach of mechanics and automation are also included. Written to enable a two-tier reading, this is an essential resource for scientists, researchers, and industrial engineers interested in this subject area.

Table of Contents:

1. From Diversity to Unexpected Dynamic
Performance.
2. The Robustness of Damping.
3. Fractional Differentiation and its Memory.
4. CRONE Suspension Idea.
5. CRONE Control Idea

Keywords: Solid Mechanics, Diversity and Non-integer Derivation Applied to System Dynamics, Alain Oustaloup, from diversity to unexpected dynamic performances, robustness of amortization, fractional derivation and its memory, CRONE suspension, CRONE control