Analysis, Modeling and Stability of Fractional Order Differential Systems 1 : The Infinite State Approach

by Jean-Claude Trigeassou , Nezha Maamri

Book Details

Format Hardback or Cased Book

ISBN-10 1786302691

ISBN-13 9781786302694

Publisher ISTE Ltd and John Wiley & Sons Inc

Imprint ISTE Ltd and John Wiley & Sons Inc

Country of Manufacture US

Country of Publication GB

Publication Date Aug 16th, 2019

Print length 320 Pages

Weight 885 grams

Dimensions 24.40 x 18.80 x 2.80 cms

Product Classification: Electronics & communications engineering

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This book introduces an original fractional calculus methodology (‘the infinite state approach’) which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation.

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