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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Bibliographic Details
Main Authors: Jiao, Zhuang, Chen, YangQuan (Author), Podlubny, Igor (Author)
Format: eBook
Published: London Springer London 2012, 2012
Edition:1st ed. 2012
Series:SpringerBriefs in Control, Automation and Robotics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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