Distributed-Order Dynamic Systems

Distributed-Order Dynamic Systems
Author :
Publisher : Springer Science & Business Media
Total Pages : 98
Release :
ISBN-10 : 9781447128519
ISBN-13 : 1447128516
Rating : 4/5 (19 Downloads)

Book Synopsis Distributed-Order Dynamic Systems by : Zhuang Jiao

Download or read book Distributed-Order Dynamic Systems written by Zhuang Jiao and published by Springer Science & Business Media. This book was released on 2012-02-26 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.


Distributed-Order Dynamic Systems Related Books

Distributed-Order Dynamic Systems
Language: en
Pages: 98
Authors: Zhuang Jiao
Categories: Technology & Engineering
Type: BOOK - Published: 2012-02-26 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from t
Nonlinear Differential Equations and Dynamical Systems
Language: en
Pages: 158
Authors: Feliz Manuel Minhós
Categories: Mathematics
Type: BOOK - Published: 2021-04-15 - Publisher: MDPI

DOWNLOAD EBOOK

This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractio
Mathematical Techniques of Fractional Order Systems
Language: en
Pages: 702
Authors: Ahmad Taher Azar
Categories: Technology & Engineering
Type: BOOK - Published: 2018-06-11 - Publisher: Elsevier

DOWNLOAD EBOOK

Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary app
Applications in Control
Language: en
Pages: 436
Authors: Ivo Petráš
Categories: Mathematics
Type: BOOK - Published: 2019-02-19 - Publisher: Walter de Gruyter GmbH & Co KG

DOWNLOAD EBOOK

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This sixth
Fractional Order Crowd Dynamics
Language: en
Pages: 198
Authors: Kecai Cao
Categories: Mathematics
Type: BOOK - Published: 2018-06-11 - Publisher: Walter de Gruyter GmbH & Co KG

DOWNLOAD EBOOK

This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conser