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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Jiao, Zhuang (Autor), Chen, YangQuan (Autor), Podlubny, Igor (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:SpringerBriefs in Control, Automation and Robotics,
Temas:
Control engineering.
System theory.
Control theory.
Signal processing.
Energy policy.
Energy and state.
Electric power production.
Control and Systems Theory.
Systems Theory, Control .
Signal, Speech and Image Processing .
Energy Policy, Economics and Management.
Electrical Power Engineering.
Mechanical Power Engineering.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XIII, 90 p. 47 illus., 37 illus. in color. online resource.
ISBN:9781447128526
ISSN:2192-6794

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