Titlebook: Distributed-Order Dynamic Systems; Stability, Simulatio Zhuang Jiao,YangQuan Chen,Igor Podlubny Book 2012 The Author(s) 2012 Distributed-or

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Zhuang Jiao,YangQuan Chen,Igor PodlubnyShows the reader original results in stability analysis of linear time-invariant systems connected with distributed-order dynamic systems.Provides the reader with a general approach to the use of dist

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https://doi.org/10.1007/978-1-4471-2852-6Distributed-order Control; Distributed-order Linear Time-invariant Systems; Distributed-order Modellin

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https://doi.org/10.1007/978-1-349-25767-6In this chapter we present a general approach to numerical solution to discretization of distributed-order derivatives and integrals, and to numerical solution of ordinary and partial differential equations of distributed order.

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Distributed-Order Linear Time-Invariant System (DOLTIS) and Its Stability Analysis,ication problem was studied. In the following sections, the stability analysis of distributed-order linear time-invariant systems in four cases are first studied, then the frequency-domain responses are presented, and time-domain responses on the basis of numerical inverse Laplace transform technique are shown in details.