Description

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.

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

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Hardback by Jean-Claude Trigeassou , Nezha Maamri

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This book introduces an original fractional calculus methodology (‘the infinite state approach’) which is applied to the modeling of fractional... Read more

    Publisher: ISTE Ltd and John Wiley & Sons Inc
    Publication Date: 16/08/2019
    ISBN13: 9781786302694, 978-1786302694
    ISBN10: 1786302691

    Number of Pages: 320

    Non Fiction , Technology, Engineering & Agriculture , Education

    Description

    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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