Distributed-Order Dynamic Systems Stability, Simulation, Applications and Perspectives

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...

Full description

Bibliographic Details
Main Authors: Jiao, Zhuang, Chen, YangQuan (Author), Podlubny, Igor (Author)
Format: eBook
Language:English
Published: London Springer London 2012, 2012
Edition:1st ed. 2012
Series:SpringerBriefs in Control, Automation and Robotics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 02924nmm a2200385 u 4500
001 EB000363156
003 EBX01000000000000000216208
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9781447128526 
100 1 |a Jiao, Zhuang 
245 0 0 |a Distributed-Order Dynamic Systems  |h Elektronische Ressource  |b Stability, Simulation, Applications and Perspectives  |c by Zhuang Jiao, YangQuan Chen, Igor Podlubny 
250 |a 1st ed. 2012 
260 |a London  |b Springer London  |c 2012, 2012 
300 |a XIII, 90 p. 47 illus., 37 illus. in color  |b online resource 
505 0 |a Introduction -- Distributed-order Linear Time-invariant System (DOLTIS) and Its Stability Analysis -- Noncommensurate Constant Orders as Special Cases of Doltis -- Distributed-order Filtering and Distributed-order Optimal Damping -- Numerical Solution of Differential Equations of Distributed Order -- Future Topics -- Appendix: MATLAB® Codes 
653 |a Signal, Image and Speech Processing 
653 |a Energy 
653 |a Image processing 
653 |a Control and Systems Theory 
653 |a System theory 
653 |a Speech processing systems 
653 |a Control engineering 
653 |a Systems Theory, Control 
653 |a Signal processing 
653 |a Energy, general 
700 1 |a Chen, YangQuan  |e [author] 
700 1 |a Podlubny, Igor  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a SpringerBriefs in Control, Automation and Robotics 
856 4 0 |u https://doi.org/10.1007/978-1-4471-2852-6?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 629.8 
520 |a 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