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Diversity and non-integer differenti...

Oustaloup, Alain.

Diversity and non-integer differentiation for system dynamics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Diversity and non-integer differentiation for system dynamicsAlain Oustaloup.
作者:	Oustaloup, Alain.
出版者:	Hoboken :Wiley,2014.
面頁冊數:	1 online resource (383 p.)
標題:	DynamicsMathematical models.
電子資源:	http://onlinelibrary.wiley.com/book/10.1002/9781118760864
ISBN:	9781118760864$qelectronic bk.

Diversity and non-integer differentiation for system dynamics
Oustaloup, Alain.

Diversity and non-integer differentiation for system dynamics[electronic resource] /Alain Oustaloup. - Hoboken :Wiley,2014. - 1 online resource (383 p.) - ISTE. - ISTE..

Cover; Title Page ; Copyright; Contents; Acknowledgments; Preface; Introduction; Chapter 1: From Diversity to Unexpected Dynamic Performances; 1.1. Introduction; 1.2. An issue raising a technological bottle-neck; 1.3. An aim liable to answer to the issue; 1.4. A strategy idea liable to reach the aim; 1.4.1. Why diversity?; 1.4.2. What does diversity imply?; 1.5. On the strategy itself; 1.5.1. The study object; 1.5.2. A pore: its model and its technological equivalent; 1.5.2.1. The model; 1.5.2.2. The technological equivalent; 1.5.3. Case of identical pores; 1.5.4. Case of different pores.

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 a.

ISBN: 9781118760864$qelectronic bk.Subjects--Topical Terms:

237606
Dynamics
--Mathematical models.

LC Class. No.: TA352 / .O978 2014eb

Dewey Class. No.: 003.85

Diversity and non-integer differentiation for system dynamics
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100 1 $a Oustaloup, Alain. $3 722324
245 1 0 $a Diversity and non-integer differentiation for system dynamics $h [electronic resource] / $c Alain Oustaloup.
260 $a Hoboken : $b Wiley, $c 2014.
300 $a 1 online resource (383 p.)
490 1 $a ISTE
505 0 $a Cover; Title Page ; Copyright; Contents; Acknowledgments; Preface; Introduction; Chapter 1: From Diversity to Unexpected Dynamic Performances; 1.1. Introduction; 1.2. An issue raising a technological bottle-neck; 1.3. An aim liable to answer to the issue; 1.4. A strategy idea liable to reach the aim; 1.4.1. Why diversity?; 1.4.2. What does diversity imply?; 1.5. On the strategy itself; 1.5.1. The study object; 1.5.2. A pore: its model and its technological equivalent; 1.5.2.1. The model; 1.5.2.2. The technological equivalent; 1.5.3. Case of identical pores; 1.5.4. Case of different pores.
505 8 $a 1.5.4.1. On differences coming from regional heritage1.5.4.1.1 Differences of technological origin; 1.5.4.1.2. A difference of natural origin; 1.5.4.1.3. How is difference expressed?; 1.5.4.2. Transposition to the study object; 1.6. From physics to mathematics; 1.6.1. An unusual model of the porous face; 1.6.1.1. A smoothing remarkable of simplicity: the one of crenels; 1.6.1.2. A non-integer derivative as a smoothing result; 1.6.1.3. An original heuristic verification of differentiation non-integer order; 1.6.2. A just as unusual model governing water relaxation.
505 8 $a 1.6.3. What about a non-integer derivative which singles out these unusual models?1.6.3.1. On the sinusoidal state of the operator of order n E [0, 2]; 1.6.3.1.1. 0 d"n d"; 1.6.3.1.2. 1d"n d"2; 1.6.3.2. On the impulse state of the operator of order n E]0,1[; 1.6.3.3. An original heuristic verification of time non-integer power; 1.7. From the unusual to the unexpected; 1.7.1. Unexpected damping properties; 1.7.1.1. Relaxation damping insensitivity to the mass; 1.7.1.2. Frequency verification of the insensitivity to the mass; 1.7.2. Just as unexpected memory properties.
505 8 $a 1.7.2.1. Taking into account the past1.7.2.2. Memory notion; 1.7.2.3. A diversion through an aspect of human memory; 1.7.2.3.1. The serial position effect; 1.7.2.3.2. A model of the primacy effect; 1.8. On the nature of diversity; 1.8.1. An action level to be defined; 1.8.2. One or several forms of diversity?; 1.8.2.1. Forms based on the invariance of the elements; 1.8.2.2. A singular form based on the time variability of an element; 1.9. From the porous dyke to the CRONE suspension; 1.10. Conclusion; 1.11. Bibliography; Chapter 2: Damping Robustness; 2.1. Introduction.
505 8 $a 2.2. From ladder network to a non-integer derivative as a water-dyke interface model2.2.1. On the admittance factorizing; 2.2.2. On the asymptotic diagrams at stake; 2.2.3. On the asymptotic diagram exploiting; 2.2.3.1. Step smoothing; 2.2.3.2. Crenel smoothing; 2.2.3.3. A non-integer differentiator as a smoothing result; 2.2.3.4. A non-integer derivative as a water-dyke interface model; 2.3. From a non-integer derivative to a non-integer differential equation as a model governing water relaxation; 2.3.1. Flow-pressure differential equation; 2.3.2. A non-integer differential equation as a model governing relaxation.
520 $a 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 a.
588 $a Description based on print version record.
650 0 $a Dynamics $x Mathematical models. $3 237606
650 0 $a System analysis $x Mathematical models. $3 231631
830 0 $a ISTE. $3 698802
856 4 0 $u http://onlinelibrary.wiley.com/book/10.1002/9781118760864