Distributed-Order Dynamic Systems Stability, Simulation, Application
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
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Zhuang Jiao YangQuan Chen Igor Podlubny •
Distributed-Order Dynamic Systems Stability, Simulation, Applications and Perspectives
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Dr. Zhuang Jiao Department of Automation Tsinghua University Beijing People’s Republic of China
Prof. Igor Podlubny BERG Faculty Technical University of Kosice B. Nemcovej 3 04200 Kosice Slovakia
Prof. YangQuan Chen Department of Electrical and Computer Engineering Utah State University Old Main Hill, CSOIS 4120 Logan, UT 84322-4120 USA
ISSN 2191-8112 ISBN 978-1-4471-2851-9 DOI 10.1007/978-1-4471-2852-6
e-ISSN 2191-8120 e-ISBN 978-1-4471-2852-6
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Preface
Fractional calculus is now being more widely accepted. The (constant) order of differentiation and/or integration can be an arbitrary real number including integers as special cases. For example, a low pass filter (LPF) with a fractional order pole can be written as HðsÞ ¼ 1=ðssa0 þ 1Þ, where
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