Fractional Calculus for Scientists and Engineers by Manuel Duarte Ortigueira
Author:Manuel Duarte Ortigueira
Language: eng
Format: epub, pdf
Publisher: Springer Netherlands, Dordrecht
(4.4)
provided that Re(s) > 0 or Re(s) < 0. So (4.4) represents two different systems depending on the adopted region of convergence. In the following we will assume to deal with causal systems, Re(s) > 0.
If we let and use the results obtained in Sect.â 2.â7.â4 we obtain the Frequency Response, H(j?),
(4.5)
We must be careful about the definition of the fractional power of j? (see Sect.â 2.â7.â4). With (4.5) we can get the Bode diagrams as in the usual systems. It is interesting to remark that the asymptotic amplitude Bode diagrams are constituted by straight lines with slopes that, at least in principle, may assume any value, contrarily to the usual case where the slopes are multiples of 20 dB/decade.
Download
Fractional Calculus for Scientists and Engineers by Manuel Duarte Ortigueira.pdf
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.
Applied | Geometry & Topology |
History | Infinity |
Mathematical Analysis | Matrices |
Number Systems | Popular & Elementary |
Pure Mathematics | Reference |
Research | Study & Teaching |
Transformations | Trigonometry |
Modelling of Convective Heat and Mass Transfer in Rotating Flows by Igor V. Shevchuk(5872)
Weapons of Math Destruction by Cathy O'Neil(5231)
Factfulness: Ten Reasons We're Wrong About the World – and Why Things Are Better Than You Think by Hans Rosling(4160)
Descartes' Error by Antonio Damasio(2848)
Factfulness_Ten Reasons We're Wrong About the World_and Why Things Are Better Than You Think by Hans Rosling(2835)
A Mind For Numbers: How to Excel at Math and Science (Even If You Flunked Algebra) by Barbara Oakley(2789)
TCP IP by Todd Lammle(2738)
Applied Predictive Modeling by Max Kuhn & Kjell Johnson(2598)
Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets by Nassim Nicholas Taleb(2539)
The Tyranny of Metrics by Jerry Z. Muller(2509)
The Book of Numbers by Peter Bentley(2491)
The Great Unknown by Marcus du Sautoy(2269)
Once Upon an Algorithm by Martin Erwig(2225)
Easy Algebra Step-by-Step by Sandra Luna McCune(2195)
Practical Guide To Principal Component Methods in R (Multivariate Analysis Book 2) by Alboukadel Kassambara(2178)
Lady Luck by Kristen Ashley(2152)
Police Exams Prep 2018-2019 by Kaplan Test Prep(2126)
Linear Time-Invariant Systems, Behaviors and Modules by Ulrich Oberst & Martin Scheicher & Ingrid Scheicher(2042)
All Things Reconsidered by Bill Thompson III(2024)