Distributed-Order Dynamic Systems - Stability, Simulation, Applications and Perspectives (Paperback, 2012)

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 (R) codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Series:	SpringerBriefs in Electrical and Computer Engineering
Release date:	February 2012
First published:	2012
Authors:	Zhuang Jiao • Yangquan Chen • Igor Podlubny
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	90
Edition:	2012
ISBN-13:	978-1-4471-2851-9
Categories:	Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > General Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Applied optics > General
LSN:	1-4471-2851-6
Barcode:	9781447128519

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