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Distributed-Order Dynamic Systems
Jiao, Zhuang; Chen, Yangquan; Podlubny, Igor
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Description for Distributed-Order Dynamic Systems
Paperback. Series: SpringerBriefs in Electrical and Computer Engineering / SpringerBriefs in Control, Automation and Robotics. Num Pages: 103 pages, 10 black & white illustrations, 37 colour illustrations. BIC Classification: GPFC; TJFM; TTBM. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 8. Weight in Grams: 171.
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. ... Read more
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. ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer London Ltd United Kingdom
Number of pages
103
Condition
New
Series
SpringerBriefs in Electrical and Computer Engineering / SpringerBriefs in Control, Automation and R
Number of Pages
90
Place of Publication
England, United Kingdom
ISBN
9781447128519
SKU
V9781447128519
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Jiao, Zhuang; Chen, Yangquan; Podlubny, Igor
Zhuang Jiao is a PhD. candidate of Tsinghua University who worked for 12 months in the Center for Self-Organizing and Intelligent Systems (CSOIS) of Utah State University, directed by Dr YangQuan Chen. During his stay with CSOIS, he served as the Reference Library manager for the Applied Fractional Calculus Group at USU. He is the ever first derived the stability ... Read more
Reviews for Distributed-Order Dynamic Systems
From the book reviews: “This book is a concise introduction to the theory and use of distributed-order systems. … Written at the level of first- or second-year graduate student, the book is well suited as a self-contained introduction to an emerging area of research and applications.” (IEEE Control Systems Magazine, October, 2013)