Diversity and Non–integer Differentiation for System Dynamics
Samenvatting
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
Specificaties
Inhoudsopgave
<p>2. Damping Robustness.</p>
<p>3. Non–Integer Differentiation, its Memory and its Synthesis.</p>
<p>4. On the CRONE Suspension.</p>
<p>5. On the CRONE Control.</p>
<p>6. Recursivity and Non–Integer Differentiation.</p>
<p>Appendix 1. Damping of a Usual Automotive Suspension.</p>
<p>Appendix 2. Relaxation of Water on a Porous Dyke.</p>
<p>Appendix 3. Systems with Explicit and Implicit Generalized Derivative.</p>
<p>Appendix 4. Generalized Differential Equation and Generalized Characteristic Equation.</p>
<p>Appendix 5. CRONE Control Response with Initial Conditions.</p>
<p>Appendix 6. Fractality and Non–integer Differentiation.</p>