Distributed-Order Dynamic Systems - Zhuang Jiao, YangQuan Chen, Igor Podlubny

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. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering.

Stability issues are addressed with graphical and numerical results highlighting the fundamental diffe