Distributed-Order Dynamic Systems Stability, Simulation, Applications and Perspectives /

• Main Authors: Jiao, Zhuang (Author), Chen, YangQuan (Author), Podlubny, Igor (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2012.
• Series: SpringerBriefs in Electrical and Computer Engineering,
• Subjects: Engineering.; Energy.; System theory.; Control engineering.; Control.; Systems Theory, Control.; Signal, Image and Speech Processing.; Energy, general.

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...

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.