Get Distributed-Order Dynamic Systems: Stability, Simulation, PDF

By Zhuang Jiao,YangQuan Chen,Igor Podlubny

ISBN-10: 1447128516

ISBN-13: 9781447128519

Distributed-order differential equations, a generalization of fractional calculus, are of accelerating significance in lots of fields of technological know-how and engineering from the behaviour of advanced dielectric media to the modelling of nonlinear structures.
This short will develop the toolbox to be had to researchers attracted to modeling, research, keep watch over and filtering. It comprises contextual fabric outlining the development from integer-order, via fractional-order to distributed-order platforms. balance matters are addressed with graphical and numerical effects highlighting the basic adjustments among constant-, integer-, and distributed-order remedies. the facility of the distributed-order version is proven with paintings at the balance of noncommensurate-order linear time-invariant structures. customary purposes of the distributed-order operator keep on with: sign processing and viscoelastic damping of a mass–spring arrange.
A new normal method of discretization of distributed-order derivatives and integrals is defined. The short is rounded out with a attention of most likely destiny examine and purposes and with a few MATLAB® codes to lessen repetitive coding initiatives and inspire new staff in distributed-order systems.

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Distributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives (SpringerBriefs in Electrical and Computer Engineering) by Zhuang Jiao,YangQuan Chen,Igor Podlubny


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