From diversity to unexpected dynamic performances: A simplified presentation almost in layman's terms

Based on a diversity structured approach which is notably inspired by various natural forms of diversity (biological among others), this paper unquestionably offers a framework, on one hand, to the introduction of non integer derivative as a modeling tool and, on the other hand, to the use of such a modeling form to put into light dynamic performances (and notably of damping) unsuspected in an ≪ integer ≫ approach of mechanics and automatic control. The ≪ non integer ≫ approach indeed enables to overcome mass-damping dilemma in mechanics and consequently stability-precision dilemma in automatic control.