Distributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives
by Jiao, Zhuang
"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. Stabili…
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- Full title :Distributed-Order Dynamic Systems : Stability, Simulation, Applications and Perspectives / by Zhuang Jiao, YangQuan Chen, Igor Podlubny.
Summary
"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.) :
Read More ↓Edition Statements
- Publication Date:2012.
Publication Statements
- Publisher(s):Springer London
- Place of Publication:London
- Language:eng
- Publication Date:2012.
Notes
Descripció del recurs: 19 de desembre de 2016.
The Physical Object
- Description:1 recurs en línia (1 recurs electrònic (XIII, 90 p.)) : : 47 il., 37 il. color
Edition Identifiers
- ISBN:9781447128526, 1447128524
- oclc:on1120512682
Table of Contents
Conté: 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
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